The officials said the intercepted communications were not limited to Trump campaign officials, and included other associates of Mr. Trump. On the Russian side, the contacts also included members of the government outside of the intelligence services, they said. All of the current and former officials spoke on the condition of anonymity because the continuing investigation is classified.

The officials said that one of the advisers picked up on the calls was Paul Manafort, who was Mr. Trump’s campaign chairman for several months last year and had worked as a political consultant in Ukraine. The officials declined to identify the other Trump associates on the calls.

The call logs and intercepted communications are part of a larger trove of information that the F.B.I. is sifting through as it investigates the links between Mr. Trump’s associates and the Russian government, as well as the hacking of the D.N.C., according to federal law enforcement officials. As part of its inquiry, the F.B.I. has obtained banking and travel records and conducted interviews, the officials said.

Mr. Manafort, who has not been charged with any crimes, dismissed the officials’ accounts in a telephone interview on Tuesday. “This is absurd,” he said. “I have no idea what this is referring to. I have never knowingly spoken to Russian intelligence officers, and I have never been involved with anything to do with the Russian government or the Putin administration or any other issues under investigation today.”