Manafort was indicted in October and has pleaded not guilty.
It comes amid Republican allegations of partisan bias among members of Mueller's team, which for months has been investigating whether the Trump campaign coordinated with Russian Federation to influence the outcome of the US election.
He alleges in his lawsuit that the investigation into "decade-old business dealings" is "completely unmoored" from the mandate Mueller was given when he was appointed in May by Deputy Attorney General Rod Rosenstein.
Manafort's attorneys claimed that the counts Manafort is facing fall outside of what should have been the acceptable scope for Mueller's probe and should essentially be dismissed. His complaint names the Justice Department, Mueller and Rosenstein, and he is suing under the Administrative Procedure Act and the Declaratory Judgment Act.
President Donald Trump's former campaign manager, Paul Manafort, sued special counsel Robert Mueller and the Justice Department for charging him with conspiracy and money laundering, saying those things have nothing to do with the alleged Russian collusion Mueller is supposed to be investigating. The Manafort lawyers say that goes beyond what the law allows Rosenstein to empower Mueller to do. "It is black letter law that a prosecutor who is otherwise engaged in lawful duty who uncovers evidence of crimes, even if they are crimes he did not expect to find, doesn't have to ignore it", Cotter said.
The legal action represents a new tack in a broader effort by supporters of the president to push back on the special counsel.
In addition to Manafort, the special counsel has charged Rick Gates, George Papadopoulos and Michael Flynn, all of whom were involved with Trump's 2016 campaign.