The thespian, who plays Barney Harper-McBride in the Channel 4 soap, was assaulted at 2:30am on Saturday 11 May, as he walked through London’s Leicester Square with fellow actor James Conway.
Scotland Yard said the pair were crossing the northern side of the square when they were approached by the attacker who was with a woman with shoulder-length brown hair.
The offender, described as white, 6ft tall and stocky, launched the unprovoked attack after the two celebrities posed for photographs with fans. Mr Scurr, 22, was treated at hospital.
Detective Sergeant Nathan Tozer of the Metropolitan Police, said: “This was a nasty and completely unprovoked attack, which resulted in Mr Scurr sustaining serious injuries to his face, and I am keen to identify the person responsible.”