They were killed in an attack at Galadimawa Junction, just off the international airport road in the capital.
The officers were killed during a shootout with their attackers late on Monday.
In a statement signed by the spokesperson of the FCT Police Command, Anjuguri Manzah, investigation has commenced to unmask the identities of the perpetrators of the act.
He said, "The FCT Commissioner of Police has reassured members of the public that the Command has deployed proactive security measures to protect lives and property in the Federal Capital Territory.
"He stated this on Tuesday during his visit to Galadimawa round-about for on the spot assessment of the unfortunate incident that claimed the lives of some policemen during a fierce gun battle with some daredevil men of the underworld.
"While commiserating with families of the deceased policemen who paid the supreme price while serving their fatherland, the Commissioner of Police wishes to assure law abiding FCT residents and the general public that the Command has set machineries in motion to arrest the fleeing assailants and bring them to justice.
"Meanwhile, the Command Criminal Investigation and Intelligence Department has since commenced discreet investigation to unmask the identities of the criminal elements behind the dastardly act."
Even though Manzah failed to mention possible motives for the attack, reports have indicated that the officers were killed while on stop-and-search operation in Galadimawa.