Trump lashed out at Cohen after his sentencing last month, tweeting that his former close confidant only agreed to plead guilty "in order to embarrass the president and get a much reduced prison sentence, which he did".
"I thank Michael Cohen for agreeing to testify before the Oversight Committee voluntarily", said Rep. Elijah Cummings, the House Oversight chairman.
"I want to make clear that we have no interest in inappropriately interfering with any ongoing criminal investigations, and to that end, we are in the process of consulting with special counsel Mueller's office", said Cummings.
Cohen, who served as Trump's attorney and fixer for years, came under scrutiny from federal prosecutors in NY over hush money payments he orchestrated during the 2016 presidential campaign to silence Stormy Daniels and Karen McDougal, two women who alleged having extramarital affairs with Trump.
Cummings has signaled that his committee is more interested in investigating the president's involvement in the campaign violations to which Cohen pleaded guilty a year ago.
Cohen's cooperation with Mueller prompted a falling out with his former client, with Trump attacking Cohen on Twitter, including accusing him of lying to try to lessen his jail sentence.More news: Xiaomi Launches $150 Phone With a 48-megapixel Camera
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Cohen said that he would bury the reporter under financial problems forever, saying "what I'm going to do to you is going to be f*cking disgusting", and adding that it wasn't possible by definition to rape one's spouse, a comment he was later compelled to apologize for making.
He also denied that Trump had committed impeachment offenses of high crimes or misdemeanors. Prosecutors have said Cohen did so at Trump's direction.
When entering his guilty plea in court, Cohen told the judge he made the false statements "to be consistent with Individual 1's political messaging and to be loyal to Individual 1". Cohen earlier pleaded guilty in special counsel Robert Mueller's ongoing probe of alleged collusion between Trump's 2016 presidential campaign and Russian Federation to making false statements to Congress about an abandoned Trump Tower project in Moscow.
"I look forward to assisting Michael to state publicly all he knows about Mr. Trump - and that includes any appropriate congressional committee interested in the search for truth and the difference between facts and lies", Davis said in a statement at the time. It's unclear what Cohen will be allowed to talk about in the hearing and what Robert Mueller, or prosecutors in NY, will want him to keep to himself. Cohen spoke in 2017 to the House and Senate Intelligence Committees - and later pleaded guilty to lying to them about the Trump Tower Moscow timeline - and both have indicated they want to speak to him again before he begins his jail sentence in March.
"Mr Cohen has expressed an interest in telling his personal story in open session, and we welcome his testimony before the Committee on Oversight and Reform", he said.
Trump's administration officials are likely to be summoned to Capitol Hill, too.