diff --git a/lld/MachO/InputFiles.cpp b/lld/MachO/InputFiles.cpp
--- a/lld/MachO/InputFiles.cpp
+++ b/lld/MachO/InputFiles.cpp
@@ -185,9 +185,6 @@
       r.target = symbols[rel.r_symbolnum];
       r.addend = rawAddend;
     } else {
-      if (!rel.r_pcrel)
-        fatal("TODO: Only pcrel section relocations are supported");
-
       if (rel.r_symbolnum == 0 || rel.r_symbolnum > subsections.size())
         fatal("invalid section index in relocation for offset " +
               std::to_string(r.offset) + " in section " + sec.sectname +
@@ -195,14 +192,19 @@
 
       SubsectionMap &targetSubsecMap = subsections[rel.r_symbolnum - 1];
       const section_64 &targetSec = sectionHeaders[rel.r_symbolnum - 1];
-      // The implicit addend for pcrel section relocations is the pcrel offset
-      // in terms of the addresses in the input file. Here we adjust it so that
-      // it describes the offset from the start of the target section.
-      // TODO: Figure out what to do for non-pcrel section relocations.
-      // TODO: The offset of 4 is probably not right for ARM64, nor for
-      //       relocations with r_length != 2.
-      uint32_t targetOffset =
-          sec.addr + rel.r_address + 4 + rawAddend - targetSec.addr;
+      uint32_t targetOffset;
+      if (rel.r_pcrel) {
+        // The implicit addend for pcrel section relocations is the pcrel offset
+        // in terms of the addresses in the input file. Here we adjust it so
+        // that it describes the offset from the start of the target section.
+        // TODO: The offset of 4 is probably not right for ARM64, nor for
+        //       relocations with r_length != 2.
+        targetOffset =
+            sec.addr + rel.r_address + 4 + rawAddend - targetSec.addr;
+      } else {
+        // The addend for a non-pcrel relocation is its absolute address.
+        targetOffset = rawAddend - targetSec.addr;
+      }
       r.target = findContainingSubsection(targetSubsecMap, &targetOffset);
       r.addend = targetOffset;
     }
diff --git a/lld/test/MachO/relocations.s b/lld/test/MachO/relocations.s
--- a/lld/test/MachO/relocations.s
+++ b/lld/test/MachO/relocations.s
@@ -1,6 +1,6 @@
 # REQUIRES: x86
 # RUN: llvm-mc -filetype=obj -triple=x86_64-apple-darwin %s -o %t.o
-# RUN: lld -flavor darwinnew -o %t %t.o
+# RUN: lld -flavor darwinnew -L%S/Inputs/MacOSX.sdk/usr/lib -lSystem -o %t %t.o
 # RUN: llvm-objdump --section-headers --syms -d %t | FileCheck %s
 
 # CHECK-LABEL: Sections:
@@ -19,23 +19,33 @@
 # CHECK:       leaq [[#%u, LSTR_OFF:]](%rip), %rsi
 # CHECK-NEXT:  [[#%x, CSTRING_ADDR + 22 - LSTR_OFF]]
 
+# RUN: llvm-objdump --section=__const --full-contents -d %t | FileCheck %s --check-prefix=NONPCREL
+# NONPCREL:      Contents of section __const:
+# NONPCREL-NEXT: 100001000 b0030000 01000000 b0030000 01000000
+
 .section __TEXT,__text
 .globl _main, _f
 _main:
-  callq _f
+  callq _f # X86_64_RELOC_BRANCH
   mov $0, %rax
   ret
 
 _f:
   movl $0x2000004, %eax # write() syscall
   mov $1, %rdi # stdout
-  leaq _str(%rip), %rsi
+  leaq _str(%rip), %rsi # Generates a X86_64_RELOC_SIGNED pcrel symbol relocation
   mov $21, %rdx # length of str
   syscall
 
   movl $0x2000004, %eax # write() syscall
   mov $1, %rdi # stdout
-  leaq L_.str(%rip), %rsi
+  leaq L_.str(%rip), %rsi # Generates a X86_64_RELOC_SIGNED pcrel section relocation
+  mov $15, %rdx # length of str
+  syscall
+
+  movl $0x2000004, %eax # write() syscall
+  mov $1, %rdi # stdout
+  movq L_.ptr_1_to_str(%rip), %rsi
   mov $15, %rdx # length of str
   syscall
   ret
@@ -47,3 +57,10 @@
 ## References to this generate a section relocation
 L_.str:
   .asciz "Private symbol\n"
+
+.section __DATA,__const
+## These generate X86_64_RELOC_UNSIGNED non-pcrel section relocations
+L_.ptr_1_to_str:
+  .quad L_.str
+L_.ptr_2_to_str:
+  .quad L_.str