After a goalless first half, Tom Denton put the hosts ahead from the penalty spot before a Will Evans own goal and debut strike from Ryan Johnson turned things around quickly for Pools.
Scott Boden was shown a straight red card for the Spireites late on as Pools continued their perfect start to the season.
Scroll down and click through the pages to see our Pools player ratings from the match...
1. Ben Killip - 7
Made two comfortable saves and had to take a heavy challenge that led to Chesterfield’s red card. Photo: Frank Reid
2. David Ferguson - 8
Was frustrated in the first half but remained a regular outlet, causing problems from the left. Played a key role in the two Pools goals with two assists. Photo: Christopher Booth
3. Gary Liddle - 7
Was excellent before his early withdrawal due to injury. Photo: Christopher Booth
4. Timi Odusina - 7
Made a couple of errors of judgement but often recovered well and let very little past him. Photo: Christopher Booth