A company spokesman confirmed that it was seeking a $250 million loan.

In preparation for his role as a White House adviser, Jared Kushner divested some of his stakes in the family business and other investments. He also resigned his position as chief executive of Kushner Companies, as well as the management positions he held in the hundreds of entities the company uses to own its projects. But he has retained economic interests in most of the company’s projects, including the Jersey City building, at 65 Bay Street, according to his government ethics disclosure.

A White House official has said Mr. Kushner shed his interests in projects expected to require large transactions with parties that had not yet been identified. It is unclear why he did not divest his stake in the Jersey City building, with the hoped-for refinancing appearing to present similar issues.

His stake in various Kushner family projects, with some other investments, could exceed $600 million, according to the government ethics filing. It lists a trust that owns a company called 65 Bay L.L.C., which has an indirect ownership in the building.

The money the Kushners seek would allow them to repay lenders and partners and keep about $30 million in cash. The tower was built with only about $30 million in equity from the Kushners and their partners, according to a 2015 presentation by the firm that helped the Kushners secure EB-5 visa funding.

The building is now valued at $340 million to $360 million, with more than half the apartments rented, according to a deal summary circulated to prospective lenders in recent weeks.