Will Grigg struck in both halves and Armando Dobra also found himself on the scoresheet as the Spireites saw off their non-league opponents.
But the Hornets, who are 74 league places below Chesterfield in the football pyramid, enjoyed a moment to savour as Chris Dickson struck a late consolation goal in front of the 558 travelling Horsham supporters.
Here is a selection of excellent photos from the FA Cup first round clash courtesy of John Lines.
1. Chesterfield FC v Horsham FC in the FA Cup: Plucky Hornets bow out at Spireites in first round - fan and match gallery
Action from Chesterfield v Horsham Photo: John Lines
2. Chesterfield FC v Horsham FC in the FA Cup: Plucky Hornets bow out at Spireites in first round - fan and match gallery
Action from Chesterfield v Horsham Photo: John Lines
3. Chesterfield FC v Horsham FC in the FA Cup: Plucky Hornets bow out at Spireites in first round - fan and match gallery
Action from Chesterfield v Horsham Photo: John Lines
4. Chesterfield FC v Horsham FC in the FA Cup: Plucky Hornets bow out at Spireites in first round - fan and match gallery
Action from Chesterfield v Horsham Photo: John Lines
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