Tshimanga pounced from close-range after just five minutes and added another from the penalty spot shortly after. The striker completed his treble with a second spot-kick after the break.
Gavin Gunning’s deflected free-kick wrapped up the points after the Bees had come back from two-nil down to level.
Here are Liam Norcliffe’s player ratings from the game...
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Chesterfield beat Barnet 4-2 on Tuesday night. Pictured: Stefan Payne. Image: Tina Jenner. Photo: Tina Jenner
. Scott Loach 6
He conceded twice but both were deflected strikes from outside the box which appeared to wrong-foot him. He made a good fingertip save late on from Mason-Clark. Photo: Tina Jenner
. Fraser Kerr 7
Steady enough. He came up against some pacy attackers and he managed them well at times. Photo: Tina Jenner
. Gavin Gunning 8
A rare goal and an assist for the skipper. He headed King's deep corner back across goal for Tshimanga's opener. He later got on the scoresheet himself with a deflected free-kick. Rowe said the defender showed great leadership at half-time, which will surprise absolutely no one given the sort of character he is. Photo: Tina Jenner
. Jamie Grimes 7
With Maguire out with an ankle injury Grimes slotted into left centre-half and he put in a strong performance. Photo: Tina Jenner
1. Scott Loach 6
He conceded twice but both were deflected strikes from outside the box which appeared to wrong-foot him. He made a good fingertip save late on from Mason-Clark. Photo: Tina Jenner
2. Fraser Kerr 7
Steady enough. He came up against some pacy attackers and he managed them well at times. Photo: Tina Jenner
3. Gavin Gunning 8
A rare goal and an assist for the skipper. He headed King's deep corner back across goal for Tshimanga's opener. He later got on the scoresheet himself with a deflected free-kick. Rowe said the defender showed great leadership at half-time, which will surprise absolutely no one given the sort of character he is. Photo: Tina Jenner
4. Jamie Grimes 7
With Maguire out with an ankle injury Grimes slotted into left centre-half and he put in a strong performance. Photo: Tina Jenner