President-elect Donald J. Trump is considering formally turning over the operational responsibility for his real estate company to his two adult sons, but he intends to keep a stake in the business and resist calls to divest, according to several people briefed on the discussions.

Under a plan now being considered by the Trump family and its lawyers, Ivanka Trump, Mr. Trump’s elder daughter, would also take a leave of absence from the Trump Organization, in the surest sign that she is exploring a potential move to Washington with her husband, Jared Kushner. Mr. Kushner is discussing an as-yet undetermined role advising his father-in-law, and Ms. Trump plans on being an advocate on issues in which she has a personal interest, like child care.

Before deciding how to separate from her father’s business, Ms. Trump is also assessing how to disentangle from her apparel and licensing brands, which are named for her, two people briefed on her plans said. She plans on appointing a president of her company to run the day-to-day operations.

The Trumps are exploring what was described by one person briefed on the discussions as a “legal structure” that would give Mr. Trump and his daughter separation from the company. The New York Times spoke to two people involved in the transition process who were granted anonymity to speak candidly about continuing negotiations.