"A discharge petition has to sit around for 30 legislative days and I don't think the American people want to wait that long," he told reporters.
A discharge petition with at least 218 member signatures forces a floor vote on a bill without it going through regular order. The tactic can be used when a majority of House members want to pass a particular initiative that is being blocked by leaders.
House Republicans offered a discharge petition to repeal the health reform law, which was signed by Mississippi Democrat Gene Taylor. They have yet to offer a petition to extend all the Bush tax cuts.
Democratic leaders waited until earlier today to officially announce that a vote on the tax breaks would be postponed until after the election.
Rep. Chris Van Hollen (D-Md.), the Assistant to Speaker Nancy Pelosi (D-Calif.), on Wednesday said there would be no vote on the issue until November.
"Given the fact that the Senate Republicans insist on holding middle-class tax relief hostage to try and get budget-busting breaks for the top two-percent, we'll take the fight to the election," he told The Hill.
Over 40 House Democrats have already called on Speaker Nancy Pelosi (D-Calif.) to stop tax hikes from occurring next year and Boehner said a majority of members in his chamber support extending all the Bush tax cuts.
"I believe there's a bipartisan majority in both the House and Senate who want to extend all of the current tax rates," Boehner said. "If the Democratic leaders leave town without stopping these tax increases, they're turning their back on the American people."