A lone goal by striker Sam Yeboah was enough to help Hearts of Oak to leapfrog Wa All Stars on top of the Premier League log.
After a much intense first half in which both sides showed interest in winning the contest, the Phobians maintained their enthusiasm to carry the day after Yeboah's goal in the 59th minute.
Chelsea's hopes of equalizing couldn't materialize as the Hearts defenders made they guarded their post to ensure they return to Accra with all three points.
The defeated to Hearts have affected Chelsea's chances of moving to the top four of the Premier League and keeps them on eighth position.
The win for Hearts mean they top the league after eleven matches after league leaders Wa All Stars were thrashed 3-1 by Techiman City.
Story by Nii Dzanie