Wesley York scored twice in a minute as Nuneaton came from behind to snatch a point at Hyde.
Adam Griffin put the Tigers ahead with a thunderous 35-yard strike in to the top corner.
And they doubled their lead in the second half through Phil Jevons, who latched on to Alex Brown's cross.
York's right-footed effort gave Nuneaton hope and, just 42 seconds later, he found the end of Simon Forsdick's cross to deny Hyde the win.
Bolton youngster Ben Dennis made his Hyde debut as a late substitute after joining on a work experience loan.