diff --git a/src/script/script.h b/src/script/script.h
--- a/src/script/script.h
+++ b/src/script/script.h
@@ -339,6 +339,12 @@
         return *this;
     }
 
+    inline CScriptNum &operator>>=(const int64_t &rhs) {
+        assert(rhs >= 0 && rhs < 64 && m_value >= 0);
+        m_value >>= rhs;
+        return *this;
+    }
+
     int getint() const {
         if (m_value > std::numeric_limits<int>::max())
             return std::numeric_limits<int>::max();
diff --git a/src/test/scriptnum_tests.cpp b/src/test/scriptnum_tests.cpp
--- a/src/test/scriptnum_tests.cpp
+++ b/src/test/scriptnum_tests.cpp
@@ -253,4 +253,15 @@
     }
 }
 
+BOOST_AUTO_TEST_CASE(rshift) {
+    CScriptNum x(45);
+    x >>= 3;
+    BOOST_CHECK(x == 5);
+    BOOST_CHECK((CScriptNum(45) >>= 3) == 5);
+    BOOST_CHECK((CScriptNum(40) >>= 3) == 5);
+    BOOST_CHECK((CScriptNum(0x7fffffffffffffffL) >>= 62) == 1);
+    BOOST_CHECK((CScriptNum(0x7fffffffffffffffL) >>= 63) == 0);
+    BOOST_CHECK((CScriptNum(42) >>= 0) == 42);
+}
+
 BOOST_AUTO_TEST_SUITE_END()