Obeng Kwadwo Junior scored the goal that separated the two sides after capitalizing on a defensive mistake by Eleven Wonders.
Head coach of Techiman Eleven Wonders, Ignatius Ofosu Mensah threw more men forward and varied tactics in the second attempting to grab the equalizer.
The referee ignored a shout for a handball which would have resulted in the penalty for Eleven Wonders, the ball hitting the hands of Robert Sowah.
Hearts Of Oak remained calm and composed till the final whistle in what was a hard-fought victory away from home.
The result means that Hearts of Oak go on 46 points after 26 games and top of the table, with the other clubs having a game in hand.
Asante Kotoko will play tomorrow against West Africa Football Academy in Obuasi, hoping to win to get back on top of the league.
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