After teammate Kaarlo Rintamaki was fouled in the 18-yard box, Ofori converted from the spot in the 57th minute.
The 20-year-old came up big to make it 3-1 for SJK.
After KPV took an early lead in the sixth minute, Jonathan Muzinga and Oskar Pihtaja had turned around a 1-0 deficit.
In the 64th minute, Ofori scored his second goal for SJK, receiving a pass on the right edge of the 18-yard box and shooting past the KPV goalkeeper to put the game away.
SJK Akatemia are third on the Finnish Kokkone league with 10 points. Ofori has three goals in five appearances.