Jack Marriott scored twice as Woking came from two goals down to beat winless Hyde.
Reece Gray scored twice within 10 minutes for the visitors, prodding in a Connor Hughes cross before rounding his marker to slide a shot under Cards keeper Sam Beasant.
But Marriott's close-range volley before the break started the comeback.
Scott Rendell converted a Josh Payne cross to equalise before Marriott fired into the top corner to win it.
Woking's come-from-behind win left Hyde's eight travelling fans yet to see a victory, with their team 10 points adrift at the bottom of the Conference Premier.
VIEW FROM THE DRESSING ROOM
Woking manager Garry Hill told BBC Surrey:
"When you are 2-0 down you have to show the character and we showed that. I felt that we could win the game in the second half and we did.
"There were two massive games this week with Dartford on Tuesday and Hyde today and to get six points in a week and grab some goals is very pleasing.
"It's a warning sign for us because whoever you play in this league you have to make sure that the side is ready from the first whistle. And I am pleased to say we got out of jail.
"Jack Marriott has come in to get goals and it has worked out well for us. Collectively as a team in the second half we had to show the character and it's a great win."
Woking 18 Beasant 08 Parkinson 02 Newton 05 McNerney 03 Nutter 04 Ricketts 30 Banya (Goddard - 67' ) 20 Payne 11 Betsy 25 Marriott (Sole - 88' ) 21 Rendell Substitutes 09 Williams 01 Howe 10 Sole 15 Cestor 22 Goddard Hyde 20 Vigouroux 27 Belezika 12 Thurston 03 Griffin 05 Ashworth 26 Gray Booked 21 Blakeman 07 Poole (Devaney - 79' ) 06 Tomsett 11 Hughes (Collins - 82' ) 09 Spencer Substitutes 23 Pollard 25 Devaney 10 Collins 19 McNiven 17 Fitzgerald
Ref: Brett Huxtable