WASHINGTON, May 2 The U.S. House voted Wednesday not to override President George W. Bush's veto of a $124 billion supplemental war funding bill.Despite the efforts of House Democrats before Wednesday's vote, the override fell short of the necessary two-thirds majority. The House voted of 222-203, sustaining the veto, The New York Times said.Bush had been highly critical of the bill, which came out of conference committee and was passed narrowly by the House last Wednesday. The veto was only the second of his presidency.Several top Democrats said they had recognized prior to the vote the override would fail, but reiterated their party's determination to limit the Iraqi conflict."If the president thinks by vetoing this bill he will stop us from working to change the direction of the war in Iraq, he is mistaken," Senate Majority Leader Harry Reid, D-Nev., said. "Now he has an obligation to explain his plan to responsibly end this war," Reid added. Copyright 2007 by UPI