The statement referred to “reports concerning potentially politically motivated investigations immediately ahead of the 2016 election” and calling the reports “very troubling”.
It went on: “President Donald J. Trump is requesting that as part of their investigation into Russian activity, the congressional intelligence committees exercise their oversight authority to determine whether executive branch investigative powers were abused in 2016.
Meanwhile, Mr Trump kept up his online trolling of Mr Obama with another early morning Twitter attack on Sunday.
This time the US president took a jab at his predecessor by referencing a hot mic incident in the run-up to the 2012 election.
The tweet refers to a remark made by the former president in 2012 during a meeting with the then outgoing Russian president, Dmitry Medvedev.
The latest twitter outburst comes a day after Mr Trump sensationally accused Mr Obama of wire-tapping him at Trump Tower
His claims were swiftly denied by Mr Obama, with a spokesman for the former US leader calling them “simply false”.
On Sunday former US Attorney General Michael Mukasey said the president was probably right that there had been surveillance but that it would have been led by the US Justice Department, not by Mr Obama.
Mr Trump is currently under pressure because of his administration’s alleged ties to Russia, amid claims the Kremlin hacked the US election in his favour.
In a separate tweet on Sunday the US president accused the Democratic National Committee (DNC) of denying the FBI access to its server to investigate the Russian hack.
He wrote: “Is it true the DNC would not allow the FBI access to check server or other equipment after learning it was hacked? Can that be possible?”
Mr Trump’s attacks on his predecessor contrast with the apparent amicable relations between the two men during the transition of power where Mr Trump lavished praise on Mr Obama for graciously handing over the presidency.