Strikes from Rhys Oates and Luke Armstrong either side of an own goal by Josef Yarney put the high-flying hosts in a commanding position.
Fraser Kerr pulled one back on the hour when he headed in from substitute Liam Mandeville’s corner.
The visitors, who stay seventh, continued to rally but they had given themselves too much to do against the third-placed Pools.
Here are Liam Norcliffe’s player ratings...
5. Laurence Maguire 5
Hartlepool caused Chesterfield a lot of problems down his and Taylor's side in the first-half. Looked much more solid when he went to left-back after the break. Photo: Craig Brough/AHPIX LTD
6. Joel Taylor 4
My man of the match in the two previous games but he was not at the races and was taken off at half-time. Hartlepool ran riot down his side in the opening 45 and he was caught out of position for the Pools' second goal. Photo: jason chadwick
7. Curtis Weston 5
Not like him at all but has been nursing a sore Achilles so he deserved a bit of leeway. He looked off the pace in the first-half as Hartlepool totally dominated midfield. Photo: Rachel Atkins
8. Manny Oyeleke 6
One of few who come out of today with any credit. He kept hold of the ball and showed courage. Photo: jason chadwick