The Senate is also expected to take up a short-term bill this week.
The Republican leader said the Senate could take up the bill next week.
The House is expected to leave Washington Wednesday for the August recess.
The new legislation comes after GOP lawmakers huddled to hash out details of the bill.
Tim Devaney 07/28/15 06:29 PM EDT
The Regulations from the Executive in Need of Scrutiny Act passed by a 243-165 vote.
"Please, please be angry about this," Sen. Bob Corker said.
He suggested that her refusal to take a position on the pipeline is "hard to understand."
Keith Laing 07/28/15 04:35 PM EDT
The Senate majority whip said lawmakers would negotiate a long-term fix after recess.
Jordain Carney 07/28/15 02:35 PM EDT
The House plans to leave for the August recess on Wednesday.
The bill hikes rates of veterans' disability benefit compensation.