But the resolution by itself can not force attorney general William Barr to publish more of the report than he intends to - and that is why even some of the Republicans supporting it complained that the measure was a waste of time.
The move is an attempt to "send a clear signal both to the American people and the Department of Justice" that lawmakers expect to see the full account of Mueller's work, according to the House Judiciary Committee's chairman, Rep. Jerrold Nadler, D-N.Y. Only four Congressmen, all Republicans, voted "present": Reps.
The top Republican on the Judiciary panel, Georgia Rep. Doug Collins, said the vote on the resolution was unnecessary but that he would support it anyway.
The Mueller investigation has resulted in criminal charges against more than 30 individuals and entities, including multiple aides and associates of President Trump.
The vote is not legally binding, but it represents the growing pressure from both sides of the aisle on the Justice Department to disclose as much of the report as possible.
If a full report isn't released, House Democrats have made it clear they will do whatever they can to get hold of it. Nadler has said he would subpoena the final report and invite - or even subpoena - Mueller to talk about it.
The Senate is not obligated to vote on this or any similar resolution, and under Majority Leader Mitch McConnell, is all but certain to not. The resolution also calls for the full report to be released to Congress.
Republican Sen. Chuck Grassley of Iowa introduced legislation with Democratic Sen.
Barr, a Trump nominee who took over the Justice Department last month, replaced Jeff Sessions, who the president ousted in November after long complaining that the former senator had recused himself in 2017 from overseeing the Russian Federation probe.
In his January Senate confirmation hearing, Barr provided some insight into his thinking on the release of the report, saying "my goal will be to provide as much transparency as I can consistent with the law" and that he would "let no personal, political or other improper interests influence my decision".
But Democrats have said they are unsatisfied with Barr's answers and want a stronger commitment to releasing the full report, along with interview transcripts and other underlying evidence.