The New York Times said that the Russians made contact with Paul Manafort, who briefly served as Trump's campaign chairperson. Current and former US officials interviewed by the Times declined to identify other Trump associates contacted by the Russians.
Speaking to reporters in Moscow, Peskov, spokesperson for President Vladimir Putin, pointed to the anonymity of the sources, saying that the reports "are not based on any facts...do not point to actual facts."
The report comes a day after US National Security Adviser Michael Flynn resigned following reports he misled Vice President Mike Pence and other officials about his contacts with Russia.
Asked about the allegations, Russian foreign ministry spokesperson Maria Zakharova said on Wednesday they "prove once against there is a major internal, political game, you can call it bargaining, in the United States."
Russian lawmakers were more direct in trying to defend Trump.
"This is not about information but about a high-precision information bomb," Alexei Pushkov, chair of the Federation Council's information committee, tweeted. "The goal is to blow up the Trump administration."