But Del. Eleanor Holmes Norton (D-D.C.) immediately made a motion to create a committee to see if the rule should continue to restrict delegates like her from voting when the House meets as a Committee of the Whole.
The House often meets as a Committee of the Whole when considering amendments to legislation.
Norton's motion was to have a new committee study whether there is "any reason to deny delegates voting rights in the committee of the whole House" in light of a recent Washington court decision on the issue. She said that decision upheld the constitutionality of these rights.
Cantor responded by making a motion to table, or kill, Holmes Norton's request.
Republicans presided in a 224-187 vote. Every Republican voted to table Holmes Norton's motion, and no Democrat joined the GOP.