Hyde suffered a fourth-successive defeat as Woking moved up to 11th in the Blue Square Bet Premier.
On-loan Sunderland midfielder Billy Knott put Woking ahead as he curled a 20-yard effort into the top corner.
Scott Spencer gave Hyde hope when he headed home aclose-range equaliser after a cross from Mark Allott.
But Knott had the final say with his fourth of the season as he capitalised on some poor defending to fire into the bottom corner.
VIEW FROM THE DRESSING ROOM
Woking manager Garry Hill told BBC Surrey:
"Considering the conditions I thought it was an entertaining game. We got the ideal start with Billy Knott scoring early on and it was a quality finish.
"We've come in drawing at half-time and we've had that will and determination, which you've got to have to win the game and you have to have a desire.
"It's a result which we thoroughly deserve to win the game over the 90 minutes and, although the game was stretched, we deserved the three points."