Cohen pleaded guilty on Tuesday to handling hush money for Mr Trump in violation of campaign finance laws.
Cohen said that Trump directed him to arrange a $150,000 payment to former Playboy model Karen McDougal and a $130,000 payment to adult-film actress Stormy Daniels, whose real name is Stephanie Clifford.
Lawyer and former New York City Mayor Rudy Giuliani.
He is one of three executives of the Trump Organization, the umbrella organisation that covers the 500 or so business entities owned by the President. At least Paul Manafort had nothing to say about Trump or his campaign.
Underwood's request was first reported by The New York Times.
Mr Cohen said on the tape that he had already spoken about the payment with Mr Weisselberg on "how to set the whole thing up". The other two executives are the President's elder sons Donald Trump Jr. and Eric Trump.
While Trump denies the affairs, his account of his knowledge of the payments has shifted.
Green says it's only a matter of time before impeachment proceedings begin, in the wake of Michael Cohen's recently-discovered crimes.
Prosecutors reached a similar immunity deal with David Pecker, the publisher of National Enquirer magazine, the Journal reported Thursday. In their conversation, Cohen told Trump that he had discussed buying the rights to McDougal's story with Weisselberg. "They came from me", Mr. Trump said during a Fox News interview.
Earlier Trump himself warned that the stock market will crash if the lawmakers decide to remove him from office.
And Mr Trump has ordered his secretary of state Mike Pompeo to cancel a planned visit to North Korea because the regime is not making "sufficient progress" over denuclearisation. But now that a guilty plea by the president's ex-lawyer has implicated the Trump Organization, federal, state and local prosecutors are circling. The president has denied both women's allegations.
"He plays an integral part in the Trump Organization's growth and continued financial success", Ivanka Trump said in an emailed statement to The Wall Street Journal in 2016.
Positive headlines for Trump, a Republican, were matched by negative stories about his opponents, including Hillary Clinton, a Democrat: an Enquirer front page from 2015 said "Hillary: 6 Months to Live" and accompanied the headline with a picture of an unsmiling Clinton with bags under her eyes. Mr Kim has returned the remains of what are believed to be 55 American soldiers who served in the Korean War.
However US intelligence officials have also said that North Korea may have increased production of fuel for nuclear weapons at multiple secret sites, according to an NBC News report in July.