The youth team won 2-0 at Lincoln City on Saturday with Javanne Smith and Matt Fuertado scoring either side of the break.
The opening goal came in the 13th minute when a deflected shot fell into the path of Smith, who finished well.
It was 2-0 to the young Spireites in the 75th minute when Dylan Wharton's long kick downfield found Fuertado, who produced a great lobbed finished.
Reflecting on the game, coach Lee Walshaw said: "The lads really bought into what we've been doing and the confidence seemed to be flowing through the team.
"Dylan Wharton was excellent in goal, saving a penalty and producing good distribution. It was our first clean in a competitive game this season.
"The challenge now is for back-to-back wins when we face Burton on Saturday."
Spireites: Wharton, Garwood, Gibson, Brook, Bradbury, Moore-Billam (Clogg 82), Geeves, Smith (Turner 82), Fuertado, Papworth
Unused substitutes: Ambler, Tansley & Netherwood