Members of both parties were lined up all the way to the back of the House chamber to read aloud sections of the Constitution.
The GOP leader said the Senate will take up the legislation on Monday.
The House will vote on a bill to approve the Keystone XL pipeline.
The House will vote Friday on the pipeline, setting the stage for a showdown with Obama.
The Senate majority leader broke his word twice, Minority Leader Harry Reid's office says.
The bill briefly became law in the last Congress.
Pelosi noted that a full-length painting of French aristocrat Marquis de Lafayette adorns the House chamber.
Sarah Ferris and Cristina Marcos 01/08/15 04:18 PM EST
The White House has threatened to veto the bill.
Kevin Cirilli 01/08/15 02:39 PM EST
The measure now heads to the president’s desk.
All Republicans ended up voting for the rule.