Donald's ex- wife and children's mother, Ivana Trump, died on Thursday.
A source with knowledge of the situation told Insider that the depositions had been scheduled for July 20, 21, and 22, with each Trump testifying in person.
There isn't a new date.
"In light of the passing of Ivana Trump yesterday, we received a request from counsel for Donald Trump and his children to adjourn all three depositions, which we have agreed to."
The depositions will be re-scheduling as quickly as possible. She said there was no other information to give at the moment.
Kempner wouldn't confirm the previously scheduled dates.
The office of James is looking into the former president's business.
The first wife of Donald Trump died in New York.
The Trump Organization has been the subject of a three-year investigation by the AG.
She has said that these misstatements inflated and deflated the values of company properties and were used to get bank loans and tax breaks.
In dozens of court hearings and filings, the Trumps fought against being deposed.
There was no pattern of numbers being fudged at the company. State and appellate judges have rejected the idea that the former president and his family are being targeted because of James' political bias.