But, after complaints from many MPs, the House of Commons was allowed to vote for an outright ban.
Rural Affairs Minister Alun Michael urged MPs not to back a total ban, but many of them ignored him.
However, the bill must pass through several more stages if it is to beome law.
It will now be sent to a committee of MPs, who will look at the changes.
Then it must be passed by the House Of Lords, which has always been against a hunting ban.
The Scottish Parliament banned fox hunting in 2002.