The vote against that version was 231 to 174, with one member voting present.
The vote of 229 to 196 with one member voting present, was an important victory for President Bush, who has made overhauling the nation's medical liability laws a centerpiece of his domestic agenda.
Last July, the override sunk once more by an inflated 12-2 margin, with 1 member voting present and 2 absent.
Eighteen members voted present, the equivalent of a blank vote, including 15 from the smallest coalition party, Democratic Left, which opposes the measures.
The resolution, which went through an expedited process requiring acquiescence of two-thirds of the House, passed 396 to 9, with all but one of the no votes coming from Democrats; two members voted "present".
Several governing lawmakers broke ranks to oppose them and 18 members voted present, the equivalent of a blank vote, including 15 from the smallest coalition party, Democratic Left, which opposes the package.
The resolution, which also asks Mr. Bush to call on all Americans "to seek guidance from God to achieve a greater understanding of our own failings," was adopted by 346 to 49, with 23 members voting present.
The number of votes she needs could also change if some members vote "present," thus lowering the majority threshold.
An even stronger House resolution, sponsored by House Speaker Nancy Pelosi, D-Calif., passed the House by a lopsided 390-5 roll call vote (with 22 members voting "present").
