diff --git a/lld/ELF/InputFiles.cpp b/lld/ELF/InputFiles.cpp
--- a/lld/ELF/InputFiles.cpp
+++ b/lld/ELF/InputFiles.cpp
@@ -618,6 +618,22 @@
   // For each secion group, connect its members in a circular doubly-linked list
   // via nextInSectionGroup. See the comment in markLive().
   for (ArrayRef<Elf_Word> entries : selectedGroups) {
+    bool hasAlloc = false;
+    for (uint32_t secIndex : entries.slice(1)) {
+      if (secIndex >= this->sections.size())
+        continue;
+      InputSectionBase *s = this->sections[secIndex];
+      if (!s || s == &InputSection::discarded)
+        continue;
+      if (s->flags & SHF_ALLOC)
+        hasAlloc = true;
+    }
+
+    // If no member has the SHF_ALLOC flag, retain the whole group. This rule
+    // retains .debug_types and .rela.debug_types.
+    if (!hasAlloc)
+      continue;
+
     InputSectionBase *head;
     InputSectionBase *prev = nullptr;
     for (uint32_t secIndex : entries.slice(1)) {
diff --git a/lld/test/ELF/gc-sections-group-debug.s b/lld/test/ELF/gc-sections-group-debug.s
new file mode 100644
--- /dev/null
+++ b/lld/test/ELF/gc-sections-group-debug.s
@@ -0,0 +1,12 @@
+# REQUIRES: x86
+## Check that group members are retained, if no member has the SHF_ALLOC flag.
+## This rule retains .debug_types and .rela.debug_types emitted by clang/gcc.
+
+# RUN: llvm-mc -filetype=obj -triple=x86_64 %s -o %t.o
+# RUN: ld.lld --gc-sections %t.o -o %t
+# RUN: llvm-readobj -S %t | FileCheck %s
+
+# CHECK: Name: .debug_types
+
+.section .debug_types,"G",@progbits,abcd,comdat
+.quad .debug_types
diff --git a/lld/test/ELF/gc-sections-group.s b/lld/test/ELF/gc-sections-group.s
--- a/lld/test/ELF/gc-sections-group.s
+++ b/lld/test/ELF/gc-sections-group.s
@@ -1,7 +1,7 @@
 # REQUIRES: x86
 ## Check that group members are retained or discarded as a unit, and
-## non-SHF_ALLOC sections in a group are subject to garbage collection.
-## This is compatible with GNU ld.
+## non-SHF_ALLOC sections in a group are subject to garbage collection,
+## if at least one member has the SHF_ALLOC flag.
 
 # RUN: llvm-mc -filetype=obj -triple=x86_64 %s -o %t.o
 # RUN: ld.lld --gc-sections %t.o -o %t.dead