WASHINGTON — Members of Congress from both parties made clear on Sunday that they wanted to see Saudi Arabia punished for the killing of the journalist Jamal Khashoggi, as President Trump shifted his tone again on the issue and joined the lawmakers in expressing doubt about the Saudi government’s account of the death.

“Obviously, there’s been deception and there’s been lies,” Mr. Trump said in a telephone interview late Saturday with The Washington Post. “Their stories are all over the place.”

The president’s response to the Saudi accounts has likewise changed from day to day. Speaking to The New York Times on Thursday, Mr. Trump said he was confident in the intelligence reports about the episode, which paint a strong, if circumstantial, case that Mr. Khashoggi’s killing was ordered by the Saudi royal court.

On Friday evening, after the Saudis, more than two weeks after Mr. Khashoggi’s death, said he had been accidentally killed during a fistfight with Saudi operatives in Istanbul, Mr. Trump was asked whether he found it credible. “I do,” he said.