WASHINGTON — House Republicans introduced a measure Thursday to formally authorize the impeachment inquiry into President Biden for alleged corruption — setting up a key floor vote expected next week.

The resolution directs three House committees to determine “whether sufficient grounds exist” to impeach Biden, 81, for his alleged role in son Hunter and brother James Biden’s foreign business ventures during his vice presidency.

Two sources told The Post that the House tentatively plans to vote Wednesday on the legislation introduced by Rep. Kelly Armstrong (R-ND).

The measure was unveiled just one day after Biden repeatedly denied having any interaction with his relatives’ foreign business associates — despite dozens of documented or alleged instances.

“I did not. And it’s just a bunch of lies. They’re lies. I did not. They’re lies,” Biden exclaimed to a Post reporter at the White House — drawing a rebuke from House Speaker Mike Johnson (R-La.), who retorted, “The President just lied again… There are at least 22 examples of Joe Biden speaking with or meeting with Hunter Biden’s foreign business associates.”

House Judiciary Committee chairman Jim Jordan (R-Ohio), one of three panel chiefs leading the inquiry, cited Biden’s false assertion during a Thursday morning appearance on Fox News.

“We know he had dinners, phone calls and meetings because Hunter Biden’s business partner, Devin Archer, has already testified under oath and told us that. So for him to say that didn’t take place just makes absolutely no sense,” Jordan said.

There are photos, records from Hunter’s abandoned laptop, and witness testimony showing that Joe Biden as sitting vice president met with his son and brother’s Chinese, Kazakhstani, Mexican, Russian and Ukrainian associates, in addition to many of their American associates.

The impeachment inquiry began Sept. 12 without a floor vote and the latest move comes as Biden’s relatives resist subpoenas demanding their testimony — with the White House questioning the legal authority of the inquiry due to the lack of a formal authorizing vote.

Former House Speaker Kevin McCarthy (R-Calif.) aborted plans for a floor vote in September when a number of Republican skeptics said they weren’t sold on the need for the probe.

GOP leaders say they’re confident they have the votes in the narrowly divided House, despite being able to afford just three defections following the expulsion last week of Rep. George Santos (R-NY).

A source told The Post that one reason Armstrong is the lead sponsor is because he is well-regarded by both conservatives and more moderate Republicans.

In a Sept. 27 memo, the chairmen of the three committees leading the inquiry — including the Oversight and tax-focused Ways & Means panels — laid out the principal questions of the impeachment inquiry, which also include whether the president interfered in the federal probe into his son.

The committees made use of subpoenas, depositions and voluntary interviews over the past year to investigate the Biden family.

Two IRS whistleblowers, Gary Shapley and Joseph Ziegler, testified to the Ways & Means Committee over the summer that the Justice Department impeded their five-year investigation into the first son over his alleged tax crimes and barred them from investigating Joe Biden’s role in overseas income, even though communications directly implicated him.

The House Judiciary Committee has heard testimony from key IRS, FBI and Justice Department officials who corroborated details of the whistleblowers’ account.

The Oversight Committee also heard bombshell testimony from Archer, who told lawmakers that the then-vice president was put on speaker phone more than 20 times with his son’s associates, dined twice at a DC restaurant with his son’s Central Asian and Eastern European contacts, took a call from Hunter and his Ukrainian employers from Dubai, and had coffee in Beijing with a Chinese associate shortly before Hunter cofounded a state-backed investment fund.