Simon Brown's second-half penalty completed a fine Worcester City comeback after they went two goals down inside the opening 10 minutes.
Tom Byrne gave the Knitters the lead before Danny Newton made it 2-0.
Lee Smith quickly reduced arrears for City before Kevin O'Connor made it 2-2 with a 20-yard drive on 42 minutes.
Hinckley's Richard Laverty was sent off for bringing down Danny Carey-Bertram in the area and Brown kept his cool to score City's winner from the spot.
VIEWS FROM THE DRESSING ROOM
Worcester manager Carl Heeley told BBC Hereford & Worcester:
"We were down to the bare bones this evening but full credit to the boys.
"We can be overly critical about conceding two poor goals and giving them an opportunity for a third.
"But they have turned it around and we gradually got better to the point where I thought we bossed the second half without too much danger."