They got the job done on the 4th minute when Jabila Abdul Karim well struck free-kick beat Asempa in post for Bechem United.
The game became balanced with both sides enjoying a fair share of the exchanges.
Ghanaian rapper Medikal entertained the sparse crowd during the half-time break before the referee ushered in the two sides for the second half to resume.
Bechem United upped their game in the second half, but the hosts were resolute in defence and caught their opponent from time to on the break.
Legon Cities in six games have lost two won one and drawn three.
The win is a big sigh of relief for the team.