Hyde forward Phil Jevons headed his ninth goal of the season to earn his side a point against Alfreton.
The visitors opened the scoring through defender Leigh Franks, who headed home Josh Law's free-kick.
But the visitors, who were chasing a third straight victory, were soon pegged back by their lowly opponents.
Tigers debutant Chris Sedgwick swung over a corner and after Town defender Dan Bradley could only help the ball on, Jevons pounced to head home.
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