The in-form away side took the lead early on, as midfielder Luke Coulson netted his fourth goal from the last three games from close range after finding himself in plenty of space in the box.
Debutant Matthew Tubbs flicked in an equaliser for the Cards midway though the first half but goals from Adam Dugdale and Joe Partington put the visitors back in control at the break.
Partington turned from hero to villain on the hour mark as he felled Anthony Edgar inside the Eastleigh half and Delano Sam-Yorke poked home the resulting free-kick to reduce the deficit before second-half substitute Luke Chike Kandi fired in an equaliser to make it 3-3 for Garry Hill's hosts with 10 minutes remaining.
Report supplied by the Press Association.
Match ends, Woking 3, Eastleigh 3.
Second Half ends, Woking 3, Eastleigh 3.
Goal!  Woking 3, Eastleigh 3. Luke Chike Kandi (Woking).
Substitution, Woking. Max Kretzschmar replaces Ismail Yakubu.
Substitution, Woking. Luke Chike Kandi replaces Charlie Carter.
Substitution, Eastleigh. Adam Dawson replaces Jai Reason.
Substitution, Eastleigh. Jamie Cureton replaces James Constable.
Goal!  Woking 2, Eastleigh 3. Delano Sam-Yorke (Woking).
Substitution, Woking. Anthony Edgar replaces Frankie Sutherland.
Second Half begins Woking 1, Eastleigh 3.
First Half ends, Woking 1, Eastleigh 3.
Frankie Sutherland (Woking) is shown the yellow card.
Goal!  Woking 1, Eastleigh 3. Joe Partington (Eastleigh).
Goal!  Woking 1, Eastleigh 2. Adam Dugdale (Eastleigh).
Goal!  Woking 1, Eastleigh 1. Matt Tubbs (Woking).
Joe Partington (Eastleigh) is shown the yellow card.
Goal!  Woking 0, Eastleigh 1. Luke Coulson (Eastleigh).
First Half begins.
Lineups are announced and players are warming up.
Woking came from behind twice to grab a share of the spoils from a six-goal thriller against Eastleigh at Kingfield Stadium.