The same reason the U.S. doesn't hold national referenda.
I read something about a UK ratification. I guess that would be in the representative parliament.
yitbos
If this treaty/constitution went before the voters, it would almost certainly lose. That, in effect, would be a vote of no-confidence in the Labour government and might end up triggering a General Election. An election that Labour might, in the wake of an EU referendum, wind up losing.