Tom Whelan struck the only goal of the game on 37 minutes, hooking the ball into the net from inside the area after the visitors failed to clear Martin Smith’s free-kick.
Akwasi Asante hit the post in the first-half, while the visitors smacked the crossbar after the break.
The victory takes the Spireites up to seventh.
Here are Liam Norcliffe’s player ratings from the game...
The victory takes the Spireites up to seventh.
4 / 4