Index: include/llvm/Object/ELF.h
===================================================================
--- include/llvm/Object/ELF.h
+++ include/llvm/Object/ELF.h
@@ -367,6 +367,8 @@
   if (Header->e_shentsize != sizeof(Elf_Shdr))
     report_fatal_error(
         "Invalid section header entry size (e_shentsize) in ELF header");
+  if (Header->e_shoff & (AlignOf<typename ELFT::uint>::Alignment - 1))
+    report_fatal_error("Invalid address alignment of section headers");
   return reinterpret_cast<const Elf_Shdr *>(base() + Header->e_shoff);
 }
 
Index: test/Object/invalid.test
===================================================================
--- test/Object/invalid.test
+++ test/Object/invalid.test
@@ -64,3 +64,7 @@
 RUN: not llvm-readobj -r %p/Inputs/invalid-relocation-sec-sh_offset.elf-x86-64 2>&1 | \
 RUN:   FileCheck --check-prefix=INVALID-RELOC-SH-OFFSET %s
 INVALID-RELOC-SH-OFFSET: Invalid data was encountered while parsing the file
+
+RUN: not llvm-readobj -t %p/Inputs/invalid-sections-address-alignment.x86-64 2>&1 | \
+RUN:   FileCheck --check-prefix=INVALID-SEC-ADDRESS-ALIGNMENT %s
+INVALID-SEC-ADDRESS-ALIGNMENT: Invalid address alignment of section headers