The U.S. Attorney's Office in Manhattan launched an investigation into Cohen previous year, and raided his offices after a tip from Mueller's office, which has been investigating the Trump campaign, focusing on potential collusion with Russian nationals during the 2016 presidential election.
"I thank Michael Cohen for agreeing to testify before the Oversight Committee voluntarily", the statement from U.S. Representative Elijah Cumming read.
Cohen said he will "give a full and credible account of the events that have transpired".
Michael Cohen, President Donald Trump's former personal attorney, and fixer, arrives at federal court for his sentencing hearing, December 12, 2018, in New York City. 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.
Cohen said Trump directed him to make the payments because of concern about how they might affect the election campaign, adding that, "nothing at the Trump Organization was ever done unless it was run through Mr. Trump".
Special counsel Robert Mueller is also investigating "any links and/or coordination between the Russian government and individuals associated" with the Trump campaign.
When asked by a reporter about Cohen's upcoming testimony during his visit to the southern border on Thursday, Trump said he isn't concerned.
Trump has denied having the extramarital affairs.
Cohen has testified behind close doors to both the Senate and the House previously, some of which led to his conviction on lying to Congress.
Non-Muslim migrants have nowhere to go, should get citizenship
According to TMC MP Derek O'Brien, the party is opposing the Bill on the ground that, "no Indian citizen should be left out". Besides Opposition parties, Bharatiya Janata Party's allies Shiv Sena and JD (U) would also oppose the Bill in Parliament .
He admitted he had paid hush money to two women who could have embarrassed Mr Trump with details of their alleged affairs with him.
"We don't want to do anything to interfere with the Mueller investigation - absolutely nothing", Cummings said.
President Donald Trump's former lawyer, Michael Cohen, will testify publicly before Congress next month.
The committee, then under the leadership of South Carolina Rep.
He pleaded guilty in August in return for a plea deal.
The panel's top Republican, Rep. Jim Jordan of OH, said Cohen's appearance shows that Cummings is using the "committee as a venue for political theatre rather than legitimate oversight", noting how Cohen has admitted knowingly lying to Congress and is a witness in ongoing investigations.
The oversight hearing may not be Cohen's only appearance.
Mr Cohen once professed to be so loyal to Mr Trump that he would take a bullet for his boss.
The House Oversight and Reform Committee announced Thursday that Cohen will appear before the panel February 7. Richard Burr, R-N.C., said in a statement.