The incident reportedly took place when Ram Moskowitz was presenting Ghalib with a restraining order on Spears's behalf. Ghalib took off and drove 30 to 40 yards with Moskowitz on his car hood, TMZ reports.
Moskowitz, who is seeking unspecified damages in the suit, claimed to have suffered cuts, abrasions and a fractured wrist.
Spears's ex also faces three felony charges from the incident.
Ghalib was one of three people issued with a restraining order by the popstar's father Jamie Spears for allegedly interfering with her career. He is not to have any contact with the 'Womanizer' singer until 2012.