Goals from Craig McAllister, Justin Richards and Paul Watson gave the Cards a three-goal half-time lead and, despite Altrincham's spirited showing in which they hit the woodwork twice, they could only manage Colin Little's consolation goal in the second half.
Woking's opener didn't take long in coming but not before Altrincham's Colin Potts had hit the foot of Clint Davies' post with a thumping effort after a neat turn and shot.
Moments later dreadful defending by Altrincham let in Woking's Karl Murray and while his one on one effort was blocked by Robins keeper Stuart Coburn, McAllister followed up to stab into an empty net from six yards.
Davies saved well from Little as the visitors searched for a way back but when Richards was tripped in the box by Gary Scott, Woking's top scorer notched his 21st of the season from the spot.
Watson floated home Woking's third from a free-kick to kill the contest with five minutes of the first half still to play.
Little's goal was too little too late for Altrincham and boss Graham Heathcote commented: "You can't defend like we did in the first half and expect to get anything."