As at June 2014, MDN says this:
The current implementation of const is a Mozilla-specific extension
and is not part of ECMAScript 5. It is supported in Firefox & Chrome
(V8). As of Safari 5.1.7 and Opera 12.00, if you define a variable
with const in these browsers, you can still change its value later. It
is not supported in Internet Explorer 6-10, but is included in
Internet Explorer 11. The const keyword currently declares the
constant in the function scope (like variables declared with var).
Firefox, at least since version 13, throws a TypeError if you
redeclare a constant. None of the major browsers produce any notices
or errors if you assign another value to a constant. The return value
of such an operation is that of the new value assigned, but the
reassignment is unsuccessful only in Firefox and Chrome (at least
since version 20).
const is going to be defined by ECMAScript 6, but with different
semantics. Similar to variables declared with the let statement,
constants declared with const will be block-scoped.
Reference here