Cohen has pleaded guilty in both investigations and was sentenced last month to three years in prison. An adviser to Cohen, Lanny Davis, said shortly after he was sentenced that the former political fixer wanted to testify and "state publicly all he knows."
In a statement released on Thursday, Cohen said he had accepted the invitation "in furtherance of my commitment to cooperate and provide the American people with answers."
Cohen added: "I look forward to having the privilege of being afforded a platform with which to give a full and credible account of the events which have transpired."
Trump has denied wrongdoing and sought to minimize Cohen's statements by painting him as a liar. Asked by reporters in Texas on Thursday about Cohen's appearance, Trump said he's "not worried about it at all."
Cohen acknowledged in the Mueller investigation that he lied to Congress by saying negotiations over a Trump Tower in Moscow had ended in January 2016 when he actually pursued the project into that June, well into Trump's 2016 presidential campaign. In New York, he acknowledged his involvement in payments to porn actress Stormy Daniels and former Playboy model Karen McDougal.
The chairman of the oversight panel, Democratic Rep. Elijah Cummings of Maryland, said the committee is consulting with Mueller's office about the testimony. He told reporters on Thursday that "there will be limitations" on the topics covered in Cohen's testimony.
"We don't want to do anything to interfere with the Mueller investigation — absolutely nothing," Cummings said.
The panel's top Republican, Rep. Jim Jordan of Ohio, said Cohen's appearance shows that Cummings is using the "committee as a venue for political theater rather than legitimate oversight," noting how Cohen has admitted knowingly lying to Congress and is a witness in ongoing investigations.
"This makes clear that Chairman Cummings and the Democrats will do whatever it takes to attack this President," Jordan said in a statement.
A spokesman for Mueller declined to comment.
Cummings has signaled that his committee is more interested in investigating the president's involvement in the campaign violations to which Cohen pleaded guilty last year.
Cummings has sent document requests to the White House and the Trump Organization that seek to determine why Trump, who reimbursed Cohen for the hush-money payments, omitted that debt on his public financial disclosure form. Cummings is also requesting a raft of potentially revealing communications about the payments and other legal services Cohen provided for the president and his company.
The oversight hearing may not be Cohen's only appearance. House Intelligence Committee Chairman Adam Schiff, D-Calif., said he welcomes Cohen's testimony before the oversight panel, but "it will be necessary, however, for Mr. Cohen to answer questions pertaining to the Russia investigation, and we hope to schedule a closed session before our committee in the near future."
Cohen testified before the House intelligence panel in a closed-door hearing in 2017, before his role in the federal investigations was fully known and when Republicans controlled the committee. The GOP-led committee later ended its investigation into Russian interference in the 2016 presidential election, saying there was no evidence of collusion or conspiracy between Trump's campaign and Russia.
Schiff wants to restart parts of that probe.
The Senate intelligence committee has also asked Cohen to return. He spoke to that panel in 2017.
"The request still stands, regardless of any public testimony Mr. Cohen may give on other issues," its chairman, Sen. Richard Burr, R-N.C., said in a statement.
- AP
