He confirmed the bank in question was Deutsche Bank.
Sekulow told CBS News' Major Garrett that Trump's legal team confirmed with sources at Deutsche Bank that the reports indicating Mueller's team requested Trump's bank records were false. 'No subpoena has been issued or received.
USA investigators are said to be demanding information on dealings linked to Mr Trump as part of an investigation into alleged Russian influence in the United States presidential election, according to Handelsblatt and Reuters.
The bank would not comment on his claim, or the report that it had received the subpoena.
Mueller's office did not immediately respond to a request for comment.
Deutsche Bank has previously rejected similar demands, citing privacy laws. (Trump's lawyer denies he meant the tweet this way, and Trump denies Comey's account of their conservation).
The special counsel's investigation has focused on potential collusion between the Trump campaign and Russian Federation, as well as obstruction of justice by President Donald Trump, who might have tried to impede the investigation.
Mueller incorporated several active investigations within the Justice Department including those of Trump campaign contacts with Russian Federation, former Trump campaign chairman Paul Manafort's business activities and former national security adviser Michael Flynn.
TRUMP: I can't, I can't answer that question because I don't think it's going to happen. Over the years, the bank's cumulative loans to Trump added up to billions, and loans originally worth $300 million remain outstanding.
Deutsche Bank has loaned the Trump Organization millions for real-estate ventures. He also has two mortgages against his Trump National Doral Miami resort and a loan against his tower in Chicago.
An internal investigation carried out by Deutsche Bank didn't yield any evidence of connections between the client relationship with Trump and the bank's mirror trades affair, a person briefed on the matter said.
Last week, Flynn pleaded guilty to a felony charge of lying to the Federal Bureau of Investigation and agreed to cooperate with Mueller's investigators.
As is to be expected when he feels fussed, the President may react badly to this news, especially after having previously warned that, "if Mueller examined his family's finances beyond any relationship with Russian Federation he'd consider it "a violation", as Bloomberg recalls. Those trades are being investigated in multiple probes in the U.S. and Europe.
Mueller's next expense report is due at the end of March. So when he set out to relaunch his empire, he turned to Deutsche Bank for the financing he couldn't find elsewhere.
Florida Congressman Matt Gaetz, a member of the House Judiciary Committee who drafted the measure, conceded Tuesday that the dollar figure is relatively low, but said he remains concerned that Mueller's investigation is still a waste.
The president has repeatedly criticised the Mueller investigation and, this weekend, alleged that the FBI's reputation was "in tatters".