Bob Corker, R-Tenn., said he was "saddened" and "disappointed".
Just hours before Mr Trump's scheduled meeting with members of Congress, Mr Ryan suggested that the president will be rigorously questioned on his remarks.
Trump is being strongly criticized for his uncritical approach to Russian Federation.
But Donald Trump again gave Vladimir Putin a pass Monday for what amounts to an act of war. "We're getting weakness instead", Republican Rep. Walter Jones, who represents much of Eastern North Carolina, wrote in a tweet.
When pressed by Wallace about the hacking, Putin later went on to say: "Listen to me, please: The information that I am aware of, there is nothing false about it, every single grain of it is true".
"The damage inflicted by President Trump's naivety, egotism, false equivalence, and sympathy for autocrats is hard to calculate".
Mr Trump turned to Twitter to blame media coverage of the Helsinki meeting with the Russian leader, writing that the "fake news (has) gone crazy".
It's time more Republicans started saying so. He says that while it is important to improve relations with Russian Federation on several issues, including Syria, the President must realize that Russian Federation did try to interfere in the elections, and that steps should be taken to block those attempts in the future.
The Wisconsin Republican says the American intelligence community and the House Intelligence Committee agree that Russian Federation interfered in the election.
"That is not just the finding of the American intelligence community but also the House Committee on Intelligence".
He added, "A productive dialogue is not only good for the United States and good for Russian Federation, but it is good for the world". "We must make clear that the United States will not tolerate hostile Russian activities against us or our allies".
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"I think he [Putin] got an assurance that America would not respond under Article 5, that Article 5 was toast because NATO was a problem, the European Union was our foe, and I think he got a lot of things", Cohen told Hill.TV's Krystal Ball and Buck Sexton on "Rising", referring to Article 5 of the North Atlantic Treaty Organization's (NATO) founding document.
A few rank and file Republicans from safely conservative seats joined the fray as well. We take a closer look.
Mr Coats' statement was seen as an uncommonly brusque pushback by the USA intelligence community against the White House.
"He took the word of the KGB over the word of the men and women of the CIA", Democratic Sen.
"I've seen Russian intelligence manipulate many people over my professional career and I never would have thought that the US President would become one of the ones getting played by old KGB hands", he tweeted.
Congressman Adam Schiff, the senior Democrat on the House Intelligence Committee, said Trump had given Putin "a green light to interfere in 2018".