The Rainbows could not extend their victory but they were able extend their recovery unbeaten run in the GPL to four.
The were back to the Accra Sports Stadium for the first time since the Stadium was closed for a renovation.
The two clubs tried to make amend for a victory but it was hard to find the back of the net.
Both teams had a lot of chances but all were squandered.
Gladson Awako showpieced a master class football to control the midfield for Hearts of Oak since they were looking to snatch a new year victory.
Hearts are on the ninth position table with 14points whiles Bechem United with 18 points sitting at the fourth position.
In the next fixture of the Ghana Premier League, Hearts of Oak will play Bibiani Gold Stars in Bechem as Bechem United faces Legon Cities.
