Matt Jansen made an impressive debut for Wrexham but failed to deliver the club's first win in eight games.
Wrexham took the lead in the first half with a fine strike from a free kick from Wes Baynes on 11 minutes.
But despite dominating the first-half Wrexham could not not add to Baynes' well-taken strike.
Wrexham's victory hopes were dashed by Rob Elvins' 53rd minute shot into the left corner, making it a frustrating afternoon for manager Dean Saunders.
Wrexham manager Dean Saunders said: "I could same the same thing as I said after last week's game and the week before's game.
"We played some decent football, Wes scored a good goal and we were in control and there was no problem - then suicide alert in the second-half.
"It was an awful goal that we conceded, we keep shooting ourselves in the foot. We're chucking games away, we should be winning games like that.
"Once we get in front, we're that nervous of giving a goal away that instead of bringing the ball down and passing it, we're just trying to get rid of it - that's a sign of nerves.
"The blatant penalty on Wes Baynes was the most ridiculous decision I've ever seen in my life, if the referee's view was restricted the linesman was right in front of it.
"A penalty there would have put us 2-0 up and we had other chances but we didn't take them, which was a shame because that would have allowed us to relax and play some football."
Woking:
Knowles, Konan, Lorraine, Miles (Sintim 46), Anderson, Bossman (Lambu 63), Bozanic, Pattison, Rhodes (Ledgister 79), Elvins, Domoraud. Subs: not used Marum, Worner.
Booked: Lorraine.
Goals: Elvins 53.
Wrexham: Anthony Williams, Baynes, Collin, Westwood, Williamson, Curtis, Crofts, Fleming, Flynn (Anoruo 73), Jansen (Spann 65), Louis (Proctor 88). Subs: not used Suffo, Fairhurst.
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