Play-off-chasing Gateshead's nine-game unbeaten run came to an end as Woking recorded their first away win of 2014.
Woking scored on their first attack, with the home side never recovering after John Nutter converted Kevin Betsy's cross.
The Tynesiders' Marcus Maddison hit a post with a scuffed shot shortly afterwards, but it was the visitors who found the net for a second time.
Betsy's delivery told once more, with John Goddard shooting home.
Woking, who had lost two and drawn once in their last three away matches, are nine points clear of the Conference Premier relegation places, while Gateshead are fifth.
VIEW FROM THE DRESSING ROOM
Woking boss Garry Hill told BBC Surrey:
"From the off we had a game plan and we got the ideal start and probably even at half-time we were disappointed we were not two or three-nil up. The game plan we set up worked very well and we made it very hard for them.
"I think we had to have a game plan and when we went 1-0 up we were always going to make it difficult for them to get the ball. We were very quick on the counter-attack and we exploited them several times.
"If John Nutter's going to score, it's going to be scored in the second minute not the 88th. He's a good pro and has done very well this season and I'm pleased for him and it was a great lift for him and us."
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