diff --git a/include/boost/detail/limits.hpp b/include/boost/detail/limits.hpp
index 2dd2ad91..5f478e3e 100644
--- a/include/boost/detail/limits.hpp
+++ b/include/boost/detail/limits.hpp
@@ -51,7 +51,7 @@
 // bit layout, but about floating-point NaN (etc.) bit patterns.
 #if defined(__sparc) || defined(__sparc__) || defined(__powerpc__) || defined(__ppc__) || defined(__hppa) || defined(_MIPSEB) || defined(_POWER)
 #define BOOST_BIG_ENDIAN
-#elif defined(__i386__) || defined(__alpha__)
+#elif defined(__i386__) || defined(__alpha__) || defined(__ia64) || defined(__ia64__)
 #define BOOST_LITTLE_ENDIAN
 #else
 #error The file boost/detail/limits.hpp needs to be set up for your CPU type.