The FBI said it suspected Page had been "collaborating and conspiring with the Russian government".
Senator Marco Rubio of Florida said Sunday he does not think the Federal Bureau of Investigation acted inappropriately in its surveillance of Donald Trump campaign aide Carter Page, who, Rubio said "went around the world bragging about his connections in Russian Federation".
Trump on Sunday used the document release to criticize the Justice Department's handling of the Russian Federation investigation, which he once again described in a tweet as a "witch hunt" against his administration.
The documents released over the weekend were part of officials' application for a warrant to the secretive foreign intelligence surveillance court.
In March 2017, before news of the FISA warrant became public, Page sent a letter to the Senate intelligence committee saying he may have been wiretapped during the time he spent at Trump Tower for the campaign.
Special Counsel Robert Mueller is investigating potential collusion between Russian Federation and Trump's campaign.
"The Papadopoulos information triggered the opening of an FBI counterintelligence investigation in late July 2016 by FBI agent Pete Strzok", the House Intelligence Committee's GOP members wrote in a February 2 memo.
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"Congratulations to @JudicialWatch and @TomFitton on being successful in getting the Carter Page FISA documents", he tweeted.
'I don't think they did anything wrong, ' the Republican senator from Florida said of the FBI's surveillance activities, speaking on Sunday in an interview with Jake Tapper on CNN's State Of The Union.
It's another flashpoint in the ongoing discussion over Russian interference in the 2016 election and cloud of possible collusion that hangs over the Trump administration.
In a statement late on Sunday, Nunes said the documents supported his committee's view "that unverified information from the Steele dossier formed an essential part of all the FISA applications on Carter Page".
Trump spent days trying to reassure the country that he accepts that the longtime foe interfered in the 2016 election after his public undermining of United States intelligence agencies in Helsinki while standing alongside Russian President Vladimir Putin.
"They should drop the discredited Mueller Witch Hunt now!" he added. Whole sections in the application - detailing the FBI's justification for believing Page was a Russian agent - are blacked out.
Prosecutors working for special counsel Robert Mueller this month indicted 12 Russian intelligence officers for hacking Democratic political organizations during the 2016 campaign, and releasing troves of stolen information in an attempt to influence the presidential election. The heavily redacted 412-page document was released a result of a Freedom of Information Act (FOIA) lawsuit by the public interest group Judicial Watch. Appearing on CNN on Sunday, Page denied the allegations. The affidavits detail Page's connections to Russian Federation, as well as the FBI's reliance on contested Steele dossier to build its case. FISA applications include matters that by their very nature implicate sources and methods of intelligence gathering, and anyone who has worked in this field knows that even discussing the existence of a FISA warrant is forbidden.