Stockport earned a hard-fought point after Hartlepool fell victim to their own defensive weaknesses.
Hartlepool took the lead with a low 20-yard shot from top scorer Eifion Williams and looked to be coasting.
But Richard Lambert equalised from the spot after Scott Walker handled and Stockport took the lead when Walker slipped and Jon Daly headed home.
Neil Danns hit the Stockport post with a header before Joel Porter blasted in following a Hugh Robertson free-kick.
Hartlepool: Provett, Nelson, Westwood, Walker, Istead, Tinkler,
Danns, Humphreys, Robertson, Williams, Porter.
Konstantopoulos, Clarke, Boyd, Craddock, Robinson.
Stockport: Spencer, Clare, Griffin, Ashley Williams, Adams,
Cartwright, Goodwin, Lambert, Jackman, Wilbraham, Daly.
Chris Williams, Welsh, McLachlan, Anthony Williams, Jones.
Referee: P Prosser (Gloucestershire)