Kevin Magnussen has been at the centre of a stalking case, the Danish newspaper BT reported.
Just days after the Dane secured his return to F1 this year with Renault, it emerges that Magnussen and his girlfriend Louise have been harassed online for some months.
The harassment reportedly involved threats and the posting on social media of private photos and information - including a phone number and address - of Magnussen and his girlfriend by the stalker.
Louise, and Magnussen’s father Jan, did not want to comment.
Copenhagen police would not confirm that an investigation is underway, but a spokesperson said cases typically involve the issuing of restraining orders.
The F1 driver also did not want to comment.