The House legislation was passed by a 399-to-15 vote.
Debate on the House legislation is expected to begin this spring.
Outside experts say at least $11 billion would be needed to take care of the children of mothers affected by the House legislation.
But it is unclear what form the House legislation will take.
In reality, neither the Senate nor the House legislation would achieve this.
But it also softened some of the tougher elements in the House legislation.
The House legislation gets only part of the way there.
The House legislation's centerpiece is a package of corporate tax cuts that would total more than $70 billion this year.
The House legislation contemplates an increase of nearly 40 percent.
The House legislation would have protected nearly twice as many acres from timber cutting.