Daggers kept up their unbeaten run at Kingfield in the last seven visits with this dour point.
Both teams had just two shots on target each in an uninspiring match while Amos Foyewa and Raphael Nade missed the best two opportunities that fell their team's way.
Foyewa shot wide from six yards when in acres of space while just after the break Nade should have buried Michael Johnson's cross but he missed the target from close range.
"When you make four good chances against a side like Dagenham you expect to take at least one," said Woking boss Glenn Cockerill after the match.
"I'm disappointed because if we had shown that extra bit of desire we would have won all three points." Both sides had unconvincing penalty appeals in the second half. Woking's Ben Townsend was shouldered off the ball as he tried to shoot while Tony Scully, a livewire on the left for Dagenham, also went down under a challenge but the appeals were waved away.
Dagenham enjoyed a great opportunity themselves when Danny Shipp lofted a pass over the Woking rearguard for newcomer Robert Gill to race clear but the former Doncaster man hurried his shot and smashed the ball wastefully across goal.
Woking did not had a single effort on target until the 76th minute when Neil Sharp's header was easily plucked to safety by the excellent Tony Roberts in the visitors goal.
Foyewa produced an amazing moment when he went on a 60-yard run skipping past four challenges before he found himself in front of Roberts.
Unfortunately for the striker he stumbled at the vital moment Roberts was able to save comfortably.
Then Sharp angled a shot across goal and inches past the post after Scott Canham's corner had caused confusion, but Woking's lack of fire power cost them and they had to settle for a point when all three were there for the taking.