"We have good reason to believe that a nomination we received concerning Trump has been falsified," Nobel Institute director Olav Njolstad told AFP.
He refused to provide further details, saying it was for the police to give more information.
Each year, nominations for the Nobel Peace Prize must be submitted by January 31. Among those entitled to propose names are members of parliament and government, former laureates and some university professors.
The Peace Research Institute of Oslo (Prio) said in early February that Trump's name was on the list.
Like last year, Trump was nominated for his "ideology of peace by force" by an American who did not want his identity revealed, according to Prio, a body independent of the Nobel organisation which closely monitors the nominations revealed publicly.
It is possible that this nomination was submitted by a person suspected of committing identity fraud to appear eligible to nominate.
The name of the 2018 winner will be announced in early October.
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