Michael Cohen, the US president’s long-serving personal lawyer, has previously admitted paying $130,000 to porn star Stormy Daniels, who claims she had an affair with Mr Trump.
Federal prosecutors obtained the search warrant to search Mr Cohen’s office after receiving a referral from the special counsel Robert Mueller.
The search is not believed to be connected to the Russia probe, but is thought to have resulted from information Mr Mueller uncovered.
“It’s a disgrace. It’s frankly a real disgrace. It’s an attack on our country, and what we all stand for.”
“This is a pure and simple witch hunt.”