Robert Mueller is believed to want to see documents that relate to 13 “areas of interest”, including those relating to Mr Trump’s sacking of the FBI director James Comey and his son’s meeting with a Russian lawyer, according to US reports.
Mr Mueller is also believed to be interested in any files relating to the sacking of Michael Flynn, the national security adviser, in February.
The retired lieutenant general was fired in February after it was revealed he misled Vice President Mike Pence about December phone calls he had with the Russian ambassador at the time Sergey Kislyak.
Mr Flynn has claimed he had only exchanged holiday greetings with Mr Kislyak when in reality they had discussed economic sanctions against Russia.
AFP/GettyRobert Mueller (L) has requested White House documents for his investigation into Donald Trump
Donald Trump branded claims his aides colluded with Moscow as fake news.
Mr Mueller is also said to be looking into the Oval Office meeting in which Mr Trump told Russian officials firing "nut job" FBI chief James Comey in May had relieved "great pressure" on himself.
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Russia's President Vladimir Putin (L)