The money is about a quarter of the $196 billion requested by Bush. It would finance about four months of combat in Iraq, Pelosi told reporters on Thursday.
"This is not a blank check for the president," she said at a Capitol Hill news conference. "This is providing funding for the troops limited to a particular purpose, for a short time frame."
The bill would set the requirement that troop withdrawals begin immediately and that soldiers and Marines spend as much time at home as they do in combat.
The measure also sets a goal that combat end by December 2008. After that, troops left behind should be restricted to a narrow sets of missions, namely counterterrorism, training Iraqi security forces and protecting U.S. assets.