The game started very quietly, although Hull were marginally the more dominant team.
In the fifth minute Stuart Green nearly latched on a mistake by Michael Ingham, but the on-loan keeper was injured in the clash, and play was held up for a couple of minutes while he was treated.
Three minutes later a fierce shot from Ryan Williams was deflected for a corner before Damien Delaney saw his effort go wide. Marc Joseph also had a shot charged down in the 14th minute.
York began to get on top as the half wore on and in the 32nd minute Peter Duffield missed the best chance of the match when he fired well over the bar after being played in by Graham Potter who completely outstripped Hull's defence.
Michael Reddy and Potter both went close, while Potter also had an effort ruled out for offside.
The second half was even quieter than the first, although Hull had a scare when Lee Bullock's glancing header went just wide in the 62nd minute.
With 15 minutes left Reddy shot inches wide from 12 yards out with Paul Musselwhite well off his line.
Hull's new signing Jamie Forrester was largely anonymous while Alan Fettis, who was roundly booed by the York fans following his midweek move from the Minstermen, was not in the starting line-up.