diff --git a/llvm/lib/CodeGen/AsmPrinter/DwarfStringPool.cpp b/llvm/lib/CodeGen/AsmPrinter/DwarfStringPool.cpp
--- a/llvm/lib/CodeGen/AsmPrinter/DwarfStringPool.cpp
+++ b/llvm/lib/CodeGen/AsmPrinter/DwarfStringPool.cpp
@@ -58,13 +58,13 @@
   if (getNumIndexedStrings() == 0)
     return;
   Asm.OutStreamer->SwitchSection(Section);
-  unsigned EntrySize = 4;
-  // FIXME: DWARF64
+  unsigned EntrySize = Asm.getDwarfOffsetByteSize();
   // We are emitting the header for a contribution to the string offsets
   // table. The header consists of an entry with the contribution's
   // size (not including the size of the length field), the DWARF version and
   // 2 bytes of padding.
-  Asm.emitInt32(getNumIndexedStrings() * EntrySize + 4);
+  Asm.emitDwarfUnitLength(getNumIndexedStrings() * EntrySize + 4,
+                          "Length of String Offsets Set");
   Asm.emitInt16(Asm.getDwarfVersion());
   Asm.emitInt16(0);
   // Define the symbol that marks the start of the contribution. It is
diff --git a/llvm/test/DebugInfo/X86/debug-str-offsets-dwarf64.ll b/llvm/test/DebugInfo/X86/debug-str-offsets-dwarf64.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/DebugInfo/X86/debug-str-offsets-dwarf64.ll
@@ -0,0 +1,57 @@
+; This checks that .debug_str_offsets can be generated in the DWARF64 format.
+
+; RUN: llc -mtriple=x86_64 -dwarf-version=5 -dwarf64 -filetype=obj %s -o %t
+; RUN: llvm-dwarfdump -debug-info -debug-str -debug-str-offsets -v %t | \
+; RUN:   FileCheck %s
+
+; CHECK:      .debug_info contents:
+; CHECK-NEXT: Compile Unit: {{.*}}, format = DWARF64,
+; CHECK:      DW_TAG_compile_unit [1] *
+; CHECK:        DW_AT_producer [DW_FORM_strx1] (indexed (00000000) string = "clang version 12.0.0")
+; CHECK:        DW_AT_name [DW_FORM_strx1] (indexed (00000001) string = "foo.c")
+; CHECK:        DW_AT_str_offsets_base [DW_FORM_sec_offset] (0x0000000000000010)
+; CHECK:        DW_AT_comp_dir [DW_FORM_strx1] (indexed (00000002) string = "/tmp")
+; CHECK:      DW_TAG_variable [2]  
+; CHECK:        DW_AT_name [DW_FORM_strx1] (indexed (00000003) string = "foo")
+; CHECK:      DW_TAG_base_type [3]  
+; CHECK:        DW_AT_name [DW_FORM_strx1] (indexed (00000004) string = "int")
+
+; CHECK:      .debug_str contents:
+; CHECK-NEXT: 0x00000000: "clang version 12.0.0"
+; CHECK-NEXT: 0x00000015: "foo.c"
+; CHECK-NEXT: 0x0000001b: "/tmp"
+; CHECK-NEXT: 0x00000020: "foo"
+; CHECK-NEXT: 0x00000024: "int"
+
+; CHECK:      .debug_str_offsets contents:
+; CHECK-NEXT: 0x00000000: Contribution size = 44, Format = DWARF64, Version = 5
+; CHECK-NEXT: 0x00000010: 0000000000000000 "clang version 12.0.0"
+; CHECK-NEXT: 0x00000018: 0000000000000015 "foo.c"
+; CHECK-NEXT: 0x00000020: 000000000000001b "/tmp"
+; CHECK-NEXT: 0x00000028: 0000000000000020 "foo"
+; CHECK-NEXT: 0x00000030: 0000000000000024 "int"
+
+; IR generated and reduced from:
+; $ cat foo.c
+; int foo;
+; $ clang -g -S -emit-llvm foo.c -o foo.ll
+
+target triple = "x86_64-unknown-linux-gnu"
+
+@foo = dso_local global i32 0, align 4, !dbg !0
+
+!llvm.dbg.cu = !{!2}
+!llvm.module.flags = !{!7, !8, !9}
+!llvm.ident = !{!10}
+
+!0 = !DIGlobalVariableExpression(var: !1, expr: !DIExpression())
+!1 = distinct !DIGlobalVariable(name: "foo", scope: !2, file: !3, line: 1, type: !6, isLocal: false, isDefinition: true)
+!2 = distinct !DICompileUnit(language: DW_LANG_C99, file: !3, producer: "clang version 12.0.0", isOptimized: false, runtimeVersion: 0, emissionKind: FullDebug, enums: !4, globals: !5, splitDebugInlining: false, nameTableKind: None)
+!3 = !DIFile(filename: "foo.c", directory: "/tmp")
+!4 = !{}
+!5 = !{!0}
+!6 = !DIBasicType(name: "int", size: 32, encoding: DW_ATE_signed)
+!7 = !{i32 7, !"Dwarf Version", i32 4}
+!8 = !{i32 2, !"Debug Info Version", i32 3}
+!9 = !{i32 1, !"wchar_size", i32 4}
+!10 = !{!"clang version 12.0.0"}