"Did you want President Trump to win the election and did you direct any of your officials to help him do that?" a reporter asked at the joint press conference Putin and Trump held after their one-on-one meeting in Helsinki, Finland.
He also declared the "era of acute ideological confrontation" between the USA and Moscow is over.
"It's in the interest of both our countries to continue the conversation and I'm sure we'll meet again in the future", he said.
He reiterated that there was no collusion between his presidential campaign and Russia, slammed special counsel Robert Mueller's investigation of Russian interference in the election as a "disaster" and shared conspiracy theories about why it's important for the FBI to take the Democratic National Committee's computer server.
"Our relationship with Russian Federation is strained because of the very malign actions he's refusing to take Russian Federation to task for", tweeted Democratic US Representative Gregory Meeks, a member of the House Foreign Affairs Committee.
All 12 suspects were members of the GRU, the Russian intelligence agency.
While acknowledging that the bilateral relations between the two countries were "complicated", Putin called his meeting with Trump "fruitful".
"Speaking about having the ball in our court in Syria", Putin said, in an awkward change of subject.
"I believe it's really good".
Russian Federation denies interfering in the USA presidential election.
The Washington Times reported Putin offered to work with the U.S.in analyzing cyberattacks.
Instead, he tweeted: "Our relationship with Russian Federation has NEVER been worse thanks to many years of United States foolishness and stupidity and now, the Rigged Witch Hunt!" Trump, for his part, noted that the United States and Russian Federation work together toward the goal of ensuring Israel's security, specifically as it relates to Bashar al-Assad's regime in Syria and its troops' advance on rebel positions near Israel's Golan Heights.
Senate Minority Leader Chuck Schumer says Trump's remarks on his European trip, including Monday's news conference, have strengthened America's adversaries.
"We've also seen the benefits of cooperation".
In some of the strongest words yet reflecting the unease of Washington's traditional allies, Germany's foreign minister said on Monday Europe could not rely on Trump. He said the United States and Russian Federation needed to solve problems together and that Moscow was ready for intelligence cooperation with America on terrorism and cyber threats.
Putin noted that Russia would expect the U.S.to return the favor and cooperate in the Russian probe against William Browder, a British investor charged of financial crimes in Russia.
He pointed out that as Trump is looking out for US interests, he is looking out for Russian interests, and the two nations need to look "for common points" of agreement.