diff --git a/clang-tools-extra/clang-tidy/readability/ContainerDataPointerCheck.h b/clang-tools-extra/clang-tidy/readability/ContainerDataPointerCheck.h
--- a/clang-tools-extra/clang-tidy/readability/ContainerDataPointerCheck.h
+++ b/clang-tools-extra/clang-tidy/readability/ContainerDataPointerCheck.h
@@ -37,6 +37,9 @@
   llvm::Optional<TraversalKind> getCheckTraversalKind() const override {
     return TK_IgnoreUnlessSpelledInSource;
   }
+
+private:
+  const std::vector<StringRef> IgnoredContainers;
 };
 } // namespace readability
 } // namespace tidy
diff --git a/clang-tools-extra/clang-tidy/readability/ContainerDataPointerCheck.cpp b/clang-tools-extra/clang-tidy/readability/ContainerDataPointerCheck.cpp
--- a/clang-tools-extra/clang-tidy/readability/ContainerDataPointerCheck.cpp
+++ b/clang-tools-extra/clang-tidy/readability/ContainerDataPointerCheck.cpp
@@ -8,6 +8,7 @@
 
 #include "ContainerDataPointerCheck.h"
 
+#include "../utils/OptionsUtils.h"
 #include "clang/Lex/Lexer.h"
 #include "llvm/ADT/StringRef.h"
 
@@ -22,14 +23,18 @@
 constexpr llvm::StringLiteral AddrOfContainerExprName =
     "addr-of-container-expr";
 constexpr llvm::StringLiteral AddressOfName = "address-of";
+const auto DefaultIgnoredContainers = "::std::array";
 
 ContainerDataPointerCheck::ContainerDataPointerCheck(StringRef Name,
                                                      ClangTidyContext *Context)
-    : ClangTidyCheck(Name, Context) {}
+    : ClangTidyCheck(Name, Context),
+      IgnoredContainers(utils::options::parseStringList(
+          Options.get("IgnoredContainers", DefaultIgnoredContainers))) {}
 
 void ContainerDataPointerCheck::registerMatchers(MatchFinder *Finder) {
   const auto Record =
       cxxRecordDecl(
+          unless(hasAnyName(IgnoredContainers)),
           isSameOrDerivedFrom(
               namedDecl(
                   has(cxxMethodDecl(isPublic(), hasName("data")).bind("data")))
diff --git a/clang-tools-extra/docs/ReleaseNotes.rst b/clang-tools-extra/docs/ReleaseNotes.rst
--- a/clang-tools-extra/docs/ReleaseNotes.rst
+++ b/clang-tools-extra/docs/ReleaseNotes.rst
@@ -141,6 +141,10 @@
   The check now skips unions since in this case a default constructor with empty body
   is not equivalent to the explicitly defaulted one.
 
+- Improved `readability-container-data-pointer <clang-tidy/checks/readability/container-data-pointer>` check.
+
+  The check now skips containers that are defined in the option `IgnoredContainers`.  The default value is `::std::array`.
+
 Removed checks
 ^^^^^^^^^^^^^^
 
diff --git a/clang-tools-extra/test/clang-tidy/checkers/readability/container-data-pointer.cpp b/clang-tools-extra/test/clang-tidy/checkers/readability/container-data-pointer.cpp
--- a/clang-tools-extra/test/clang-tidy/checkers/readability/container-data-pointer.cpp
+++ b/clang-tools-extra/test/clang-tidy/checkers/readability/container-data-pointer.cpp
@@ -1,4 +1,6 @@
-// RUN: %check_clang_tidy %s readability-container-data-pointer %t -- -- -fno-delayed-template-parsing
+// RUN: %check_clang_tidy -check-suffix=CLASSIC %s readability-container-data-pointer %t -- -- -fno-delayed-template-parsing
+// RUN: %check_clang_tidy -check-suffix=WITH-CONFIG %s readability-container-data-pointer %t -- -config="{CheckOptions: [{key: readability-container-data-pointer.IgnoredContainers, value: '::std::basic_string'}]}" -- -fno-delayed-template-parsing
+
 
 typedef __SIZE_TYPE__ size_t;
 
@@ -58,20 +60,24 @@
 void g(size_t s) {
   std::vector<unsigned char> b(s);
   f(&((b)[(z)]));
-  // CHECK-MESSAGES: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}f(b.data());{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}f(b.data());{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG: :[[@LINE-3]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-WITH-CONFIG: {{^  }}f(b.data());{{$}}
 }
 
 void h() {
   std::string s;
   f(&((s).operator[]((z))));
-  // CHECK-MESSAGES: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}f(s.data());{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}f(s.data());{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG-NOT: :[[@LINE-3]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
 
   std::wstring w;
   f(&((&(w))->operator[]((z))));
-  // CHECK-MESSAGES: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}f(w.data());{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}f(w.data());{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG-NOT: :[[@LINE-3]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
 }
 
 template <typename T, typename U,
@@ -79,35 +85,44 @@
 void i(U s) {
   std::vector<T> b(s);
   f(&b[0]);
-  // CHECK-MESSAGES: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}f(b.data());{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}f(b.data());{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG: :[[@LINE-3]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-WITH-CONFIG: {{^  }}f(b.data());{{$}}
 }
 
 template void i<unsigned char, size_t>(size_t);
 
 void j(std::vector<unsigned char> * const v) {
   f(&(*v)[0]);
-  // CHECK-MESSAGES: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}f(v->data());{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}f(v->data());{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG: :[[@LINE-3]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-WITH-CONFIG: {{^  }}f(v->data());{{$}}
 }
 
 void k(const std::vector<unsigned char> &v) {
   f(&v[0]);
-  // CHECK-MESSAGES: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}f(v.data());{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}f(v.data());{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG: :[[@LINE-3]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-WITH-CONFIG: {{^  }}f(v.data());{{$}}
 }
 
 void l() {
   unsigned char b[32];
   f(&b[0]);
-  // CHECK-MESSAGES-NOT: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-MESSAGES-CLASSIC-NOT: :[[@LINE-1]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-MESSAGES-WITH-CONFIG-NOT: :[[@LINE-2]]:5: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
 }
 
 template <typename T>
 void m(const std::vector<T> &v) {
   return &v[0];
-  // CHECK-MESSAGES: :[[@LINE-1]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}return v.data();{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}return v.data();{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG: :[[@LINE-3]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-WITH-CONFIG: {{^  }}return v.data();{{$}}
 }
 
 template <typename T>
@@ -125,8 +140,10 @@
 
 const int *o(const std::vector<std::vector<std::vector<int>>> &v, const size_t idx1, const size_t idx2) {
   return &v[idx1][idx2][0];
-  // CHECK-MESSAGES: :[[@LINE-1]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}return v[idx1][idx2].data();{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}return v[idx1][idx2].data();{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG: :[[@LINE-3]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-WITH-CONFIG: {{^  }}return v[idx1][idx2].data();{{$}}
 }
 
 std::vector<int> &select(std::vector<int> &u, std::vector<int> &v) {
@@ -135,14 +152,18 @@
 
 int *p(std::vector<int> &v1, std::vector<int> &v2) {
   return &select(*&v1, v2)[0];
-  // CHECK-MESSAGES: :[[@LINE-1]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}return select(*&v1, v2).data();{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}return select(*&v1, v2).data();{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG: :[[@LINE-3]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-WITH-CONFIG: {{^  }}return select(*&v1, v2).data();{{$}}
 }
 
 int *q(std::vector<int> ***v) {
   return &(***v)[0];
-  // CHECK-MESSAGES: :[[@LINE-1]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}return (**v)->data();{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}return (**v)->data();{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG: :[[@LINE-3]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-WITH-CONFIG: {{^  }}return (**v)->data();{{$}}
 }
 
 struct VectorHolder {
@@ -152,6 +173,8 @@
 int *r() {
   VectorHolder holder;
   return &holder.v[0];
-  // CHECK-MESSAGES: :[[@LINE-1]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
-  // CHECK-FIXES: {{^  }}return holder.v.data();{{$}}
+  // CHECK-MESSAGES-CLASSIC: :[[@LINE-1]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-CLASSIC: {{^  }}return holder.v.data();{{$}}
+  // CHECK-MESSAGES-WITH-CONFIG: :[[@LINE-3]]:10: warning: 'data' should be used for accessing the data pointer instead of taking the address of the 0-th element [readability-container-data-pointer]
+  // CHECK-FIXES-WITH-CONFIG: {{^  }}return holder.v.data();{{$}}
 }