A FREE flowing Armagh City took a deserved first-half lead as Richard Nesbitt hammered home, following good play by Liam Cullen.
Nesbitt's brother, Adam created the second, leaving Gavin Cusack with a simple tap in to double the home side's lead.
It was Adam Nesbitt who sealed victory, heading home a Dale Montgomery cross after an incisive counter-attack.
There was still time for Gary Brown to net a consolation goal, firing low and hard from the edge of the box.
Armagh City: Morgan, Metcalfe, McGerrigan, Kerr, Bruce, Cusack, McSorley, Cullen, A. Nesbitt, R. Nesbitt, Montgomery subs Hynds (replaced R. Nesbitt 66), McMahon (replaced Metcalfe 80), Grimley (not used), O'Neill (replaced McSorley 84)
PSNI: O'Neill, Gibson, Mackle, Greener, Boyd, Brown, Hadden, Hamill, Holden, Gabbey, Adamczyk subs Malomo-Paris (replaced Gabbey 82), Fletcher (not used)