By Toni Clarke and Dustin Volz

WASHINGTON (Reuters) - President-elect Donald Trump accepts the U.S. intelligence community's conclusion that Russia engaged in cyber attacks during the U.S. presidential election and may take action in response, his incoming chief of staff said on Sunday.

Reince Priebus said Trump believed Russia was behind the intrusions into the Democratic Party organizations, although Priebus did not clarify whether the president-elect agreed that the hacks were directed by Russian President Vladimir Putin.

"He accepts the fact that this particular case was entities in Russia, so that's not the issue," Priebus said on "Fox News Sunday."

It was the first acknowledgment from a senior member of the Republican president-elect's team that Trump had accepted that Russia directed the hacking and subsequent disclosure of Democratic emails during the 2016 presidential election.

Trump had rebuffed allegations that Russia was behind the hacks or was trying to help him win, saying the intrusions could have been carried out by China or a 400-pound hacker on his bed.

With less than two weeks until his Jan. 20 inauguration, Trump has come under increasing pressure from fellow Republicans to accept intelligence community findings on Russian hacking and other attempts by Moscow to influence the Nov. 8 election. A crucial test of Republican support for Trump comes this week with the first confirmation hearings for his Cabinet picks.

A U.S. intelligence report last week said Putin directed a sophisticated influence campaign including cyber attacks to denigrate Democratic presidential candidate Hillary Clinton and support Trump.

The report, commissioned by Democratic President Barack Obama in December, concluded vote tallies were not affected by Russian interference, but did not assess whether it influenced the outcome of the vote in other ways.

'ACTION MAY BE TAKEN'

After receiving a briefing on Friday from leaders of the U.S. intelligence agencies, Trump did not refer specifically to Russia's role in the presidential campaign.

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In a statement, he acknowledged that "Russia, China, other countries, outside groups and people are consistently trying to break through the cyber infrastructure of our governmental institutions, businesses and organizations including the Democrat(ic) National Committee."

Trump spokesman Sean Spicer told Reuters the president-elect's conclusions remained the same and that Priebus' comments were in line with Friday's statement.

Priebus, the former Republican National Committee chairman Trump tapped as White House chief of staff, said Trump planned to order the intelligence community to make recommendations as to what should be done. "Action may be taken," he said, adding there was nothing wrong with trying to have a good relationship with Russia and other countries.

Republican lawmakers pushed back on Sunday on the strategy of cozying up to Putin.

Two senior Republican senators urged Trump to punish Russia in response to U.S. intelligence agencies' conclusion that Putin personally directed efforts aimed at influencing the election.

Appearing on NBC's "Meet the Press," Senators Lindsey Graham and John McCain said evidence was conclusive that Putin sought to influence the election - a point that Trump has refuted.

"In a couple weeks, Donald Trump will be the defender of the free world and democracy," Graham said. "You should let everybody know in America, Republicans and Democrats, that you're going to make Russia pay a price for trying to interfere."

On Saturday, Trump wrote on Twitter that having a better relationship with Russia was a "good thing."

U.S. Representative Devin Nunes, the Republican chairman of the House Intelligence Committee, said three U.S. presidents had tried and failed to be friends with Putin.

"I’m just not sure it’s possible," Nunes said on the "Fox News Sunday" program. "I’ve cautioned his administration to be careful with Putin, as he remains a bad actor."

The ranking Democrat on the committee, Adam Schiff, said it was alarming to Democrats and Republicans to hear the president-elect continue to speak in terms of "making nice" with Putin.

"It's not realistic and we need to be clear-eyed and sober about just what the Russians are about," Schiff said on CNN's "State of the Union."

Senate Majority Leader Mitch McConnell agreed it was not unusual for a new president to want to get along with the Russians. He added on CBS, however, that the Russians remained a "big adversary, and they demonstrated it by trying to mess around in our election."

Obama, who himself tried to "reset" relations with Russia after he took office in 2009, told NBC he did not think he had underestimated the Russian president.

"But I think that I underestimated the degree to which, in this new information age, it is possible for misinformation for cyber hacking and so forth to have an impact on our open societies, our open systems, to insinuate themselves into our democratic practices in ways that I think are accelerating," he said in an interview with "Meet the Press" broadcast on Sunday.

(Additional reporting and writing by Doina Chiacu; Editing by Caren Bohan and Peter Cooney)