diff --git a/clang-tools-extra/clang-tidy/readability/MisleadingIndentationCheck.cpp b/clang-tools-extra/clang-tidy/readability/MisleadingIndentationCheck.cpp
--- a/clang-tools-extra/clang-tidy/readability/MisleadingIndentationCheck.cpp
+++ b/clang-tools-extra/clang-tidy/readability/MisleadingIndentationCheck.cpp
@@ -106,7 +106,11 @@
 }
 
 void MisleadingIndentationCheck::registerMatchers(MatchFinder *Finder) {
-  Finder->addMatcher(ifStmt(hasElse(stmt())).bind("if"), this);
+  Finder->addMatcher(
+      ifStmt(allOf(hasElse(stmt()),
+                   unless(allOf(isConstexpr(), isInTemplateInstantiation()))))
+          .bind("if"),
+      this);
   Finder->addMatcher(
       compoundStmt(has(stmt(anyOf(ifStmt(), forStmt(), whileStmt()))))
           .bind("compound"),
diff --git a/clang-tools-extra/test/clang-tidy/checkers/readability-misleading-indentation.cpp b/clang-tools-extra/test/clang-tidy/checkers/readability-misleading-indentation.cpp
--- a/clang-tools-extra/test/clang-tidy/checkers/readability-misleading-indentation.cpp
+++ b/clang-tools-extra/test/clang-tidy/checkers/readability-misleading-indentation.cpp
@@ -2,6 +2,7 @@
 
 void foo1();
 void foo2();
+void foo3();
 
 #define BLOCK \
   if (cond1)  \
@@ -118,3 +119,79 @@
   #pragma unroll
   for (int k = 0; k < 1; ++k) {}
 }
+
+template<bool b>
+void mustPass() {
+  if constexpr (b) {
+    foo1();
+  } else {
+    foo2();
+  }
+}
+
+void mustPassNonTemplate() {
+  constexpr unsigned Value = 1;
+  if constexpr (Value == 0) {
+    foo1();
+  } else if constexpr (Value == 1) {
+    foo2();
+  } else {
+    foo3();
+  }
+}
+
+template<bool b>
+void mustFail() {
+  if constexpr (b) {
+    foo1();
+  }
+    else {
+      foo2();
+      // CHECK-MESSAGES: :[[@LINE-2]]:5: warning: different indentation for 'if' and corresponding 'else' [readability-misleading-indentation]
+  }
+}
+
+void mustFailNonTemplate() {
+  constexpr unsigned Value = 1;
+  if constexpr (Value == 0) {
+    foo1();
+  }
+    else {
+  foo2();
+  // CHECK-MESSAGES: :[[@LINE-2]]:5: warning: different indentation for 'if' and corresponding 'else' [readability-misleading-indentation]
+  }
+
+  if constexpr (Value == 0)
+    foo1();
+    else
+  foo2();
+  // CHECK-MESSAGES: :[[@LINE-2]]:5: warning: different indentation for 'if' and corresponding 'else' [readability-misleading-indentation]
+}
+
+template<bool b>
+void mustFailNoInsta() {
+  if constexpr (b) {
+    foo1();
+  }
+    else {
+      foo2();
+      // CHECK-MESSAGES: :[[@LINE-2]]:5: warning: different indentation for 'if' and corresponding 'else' [readability-misleading-indentation]
+  }
+}
+
+template<bool b>
+void mustPassNoInsta() {
+  if constexpr (b) {
+    foo1();
+  }
+  else {
+    foo2();
+  }
+}
+
+void call() {
+  mustPass<true>();
+  mustPass<false>();
+  mustFail<true>();
+  mustFail<false>();
+}