State prosecutors in Manhattan subpoenaed President Trump’s family business on Thursday, reviving an investigation into the company’s role in hush-money payments made during the 2016 presidential campaign, according to people briefed on the matter.

The subpoena, issued by the Manhattan district attorney’s office, demanded the Trump Organization provide documents related to money that had been used to buy the silence of Stormy Daniels, a pornographic film actress who said she had an affair with Mr. Trump.

The inquiry from the district attorney’s office, which is in early stages, is examining whether any senior executives at the company filed false business records about the hush money, which would be a state crime, the people said.

Marc L. Mukasey, an attorney for the Trump Organization, called the inquiry a “political hit job.”