The service has relayed the identity of the police officer as Lance Corporal Wormenor Samuel with ID Number 51688.
The victim has also been identified as Madam Joyce Ofosuwaa.
The incident is also reported to have occurred at Asafo M.A. JHS registration Centre in the Greater Accra region.
The Police Service said Lance Corporal Wormenor is under investigation for professional misconduct and assault against Madam Ofosuwaa.
The middle-aged woman was assaulted after an altercation in the queue at the registration centre.
It is unclear what led to the confrontation, but some Ghanaians have called for the interdiction of the police officer whom they say should have controlled his temper because of his position.