Sen. Bob Corker, R-Tenn., said Trump had made the United States look like "a pushover" and said the president's remarks "saddened" him.
Trump's statements came after he said he holds both the United States and Russian Federation responsible for the breakdown in the relationship between the two countries and railed against the special counsel's Russian Federation investigation.
Donald Trump and Vladimir Putin started their first bilateral meeting here on Monday.
US officials have stressed the path to improving US-Russia ties runs through a clear-eyed understanding of Russian aggression and the root causes of discord in the relationship, but Trump is signaling a different course. "That changed, about four hours ago". Ryan said Russian Federation "remains hostile to our most basic values and ideals".
REUTERS/Kevin LamarquePresident Donald Trump throws a soccer ball to First Lady Melania Trump during a joint news conference with Russia's President Vladimir Putin in Helsinki, Finland, July 16, 2018.
Mr Trump called his meeting with Mr Putin "a good start, a very good start for everybody" as the two leaders and their top advisers sat across the table from one another during lunch.
Both presidents said after the Helsinki summit that a big step forward had been taken. Why was the Federal Bureau of Investigation told to leave the office of the Democratic National Committee?
She condemned what she claims was Russia's use of a lethal nerve agent inside Britain, its shielding of the Syrian government, its support of Iran, and the spreading of "malicious fake news" on an industrial scale.
"I wasn't doing a protest", Husseini said in an AP interview. And it's very much like what he did at North Atlantic Treaty Organisation, where he hyped the problem of inadequate defense spending by the North Atlantic Treaty Organisation allies and then said, but now I saw that.
May backed this view, calling for spending hikes.
KING: Now, just a couple hours ago on Twitter, President Trump blamed bad relations between the USA and Russian Federation on the Obama administration as well as US, quote, "foolishness".
Russia's foreign ministry tweeted "we agree" in reaction to Mr Trump's morning tweet criticising U.S. "foolishness and stupidity" for the state of relations between the two countries.
"I have great confidence in my intelligence people, but I will tell you that President Putin was extremely strong and powerful in his denial today", Trump said Monday.
Former CIA and National Security Agency Director Michael Hayden, who led the NSA during the final years of George W. Bush's presidency, also expressed dismay over the President's performance.
Trump "paid particular attention" to Israel's security during the summit, the Russian leader said at a joint press conference after the summit Monday. "President Trump proved not only unable, but unwilling to stand up to Putin".
On Friday, the Justice Department laid out details of what it said was a far-reaching hacking scheme in an indictment of 12 Russian agents whom it accused of trying to disrupt the US election.
The White House is likely to block the move, arguing that the president is not required to reveal private conversations and that an aide, such as a translator, should not be compelled to do so. We got a lot to say.
KING: All right. So Trump and Putin in the middle of an extended press conference, going on something like 45 minutes here - what have we heard so far of note?