The Major Investigation Task Force, MIT, is appealing to members of the public who can assist in bringing to justice those responsible for the murder of District Constable Astley Howard to come forward.
Constable Howard was shot by gunmen on Slipe Road in Kingston at approximately 8:30am on October 13.
He died in hospital.
Head of the Criminal Investigation Branch, ACP Ealan Powell, says the murder may have arisen from a domestic dispute.
Anyone with information that can assist the investigation is being asked to contact CIB Headquarters at 922-4487 or 922-4741 or the Major Investigation Task Force at 758-5048.
They may also contact the Police 119 emergency number, Crime Stop at 311, or the nearest Police Station.