Tom Pope hit the bar and Marc Richards hit the post in the first half. Then Doug Loft almost broke the post with a rasping shot in the second.
Despite playing every trick in the book, Vale just couldn't grasp the 3 points, although Richards went close on several occasions.
Bury had captain Steven Shumacher sent off for a 2nd bookable offence late on, but still Vale couldn't finish the job.
Vale are 9th...another missed opportunity.