Index: ELF/Target.cpp
===================================================================
--- ELF/Target.cpp
+++ ELF/Target.cpp
@@ -818,6 +818,8 @@
   switch (Type) {
   default:
     return false;
+  case R_X86_64_GOTTPOFF:
+  case R_X86_64_TPOFF32:
   case R_X86_64_DTPOFF32:
   case R_X86_64_DTPOFF64:
   case R_X86_64_PC8:
Index: test/ELF/x86-64-tls-pie.s
===================================================================
--- /dev/null
+++ test/ELF/x86-64-tls-pie.s
@@ -0,0 +1,26 @@
+# REQUIRES: x86
+# RUN: llvm-mc -filetype=obj -triple=x86_64-unknown-cloudabi %s -o %t1.o
+# RUN: ld.lld -pie %t1.o -o %t
+# RUN: llvm-readobj -r %t | FileCheck %s
+
+# Bug 27174: R_X86_64_TPOFF32 and R_X86_64_GOTTPOFF relocations should
+# be eliminated when building a PIE executable, as the static TLS layout
+# is fixed.
+#
+# CHECK:      Relocations [
+# CHECK-NEXT: ]
+
+	.globl	_start
+_start:
+	movq	%fs:0, %rax
+	movl	$3, i@TPOFF(%rax)
+
+	movq	%fs:0, %rdx
+	movq	i@GOTTPOFF(%rip), %rcx
+	movl	$3, (%rdx,%rcx)
+
+	.section	.tbss.i,"awT",@nobits
+	.globl	i
+i:
+	.long	0
+	.size	i, 4