"We need to reevaluate our long-term relationship with Saudi Arabia," Republican Senator John Barasso said.
Reporters Without Borders said they had to meet with Saudi officials to explain just how bad the kingdom's reputation has become.
At least 122 people have been executed by the Saudi government this year as the royal family intensifies a crackdown on dissenters.
Cooper's segment, titled "There's something about a dictator," detailed the president's concerning rapport with the world's most controversial leaders.
Trump again refused to publicly condemn certain leaders for taking hostile actions toward American people or interests and boasted of his personal connections with the men instead.
"What's happening in Saudi Arabia is not normal," the typically close Trump ally and Republican senator said.
"There's a lot of money that historically has flowed from Gulf state individuals to the Trump family fortune," Senator Chris Murphy said, "and that has to be part of the explanation as to why they continue to bend over backwards to try to make the Saudis happy."
"Saudi Arabia is a strategic ally but the crown prince was, in my opinion, involved in the murder of Mr. Khashoggi and he's done a lot of other disruptive things," the Republican senator explained.
"Every day that we go on without getting to the bottom of this matter is a day that we are putting hundreds, if not potentially thousands, of Americans at risk," the progressive Democrat from New York warned.
The names of six U.S. companies planning to supply nuclear equipment to Saudi Arabia have been kept secret.
"This will have negative effects on the Middle East peace process and security and stability in the region," the kingdom said in an official statement.
"For Trump and his team, human rights is just another cudgel they wield opportunistically in service of a vision for the Middle East," Jamal Abdi, president of the National Iranian American Council, told Newsweek.
"Saudi Arabia has engaged in acts that are simply not acceptable," Republican Senator Jim Risch said.
Trump's unwavering support for Saudi Arabia has raised significant bipartisan criticism from lawmakers in Washington.
Kushner had his first meeting with the Saudi prince following the killing of Jamal Khashoggi in Istanbul in October 2018.
The U.S. has been accused alongside Saudi Arabia of violating end user agreements to illicitly transfer weapons to insurgents in Syria.
Riyadh denies the crown prince played any role in the killing of the journalist.
President Donald Trump called Saudi Arabia a "great ally" despite the murder of Khashoggi, defending his stance by citing multi-billion-dollar arms agreements.
The GOP politician from Tennessee slammed the White House's response to Jamal Khashoggi's killing.
More than 22,000 police and security agents are set to put the city on lockdown, with 33 protests against the summit planned.
The material reportedly encouraged violent jihad against nonbelievers and urged the death penalty for women who have an affair.
"We do know of course he has openly bragged about how many millions he makes from Saudi Arabia," the California Democrat pointed out. "Is his personal financial interest driving U.S. policy in the gulf?" he asked.