Heart of Lions moved further away from relegation at the expense of Great Olympics who are bound for a return to the second-tier league.
The Giant Killers nothing but victory could salvage Premier League status and they had no mercy for their crippled guests.
Prince Acquah first opened the scoring from a spot-kick on the half-hour mark before Hudu Yakubu added the second with a brilliant strike.
The Wonder Club must now beat newly-crowned champions AshantiGold at the Accra Sports Stadium in the last game of the season if they are to stand any chance of survival.