Despite racking up16 goal attempts they were unable to take advantage of a flu-ridden Chester side who had gone 11 matches without a clean sheet .
In fact the nearest United went to breaking the deadlock was when Chester's Sean Hessey almost scored an own goal in the 53rd minute.
The ball flew off his boot following a corner by Stuart Bimson but was blocked at the near post by full-back Ben Davies.
That was five minutes before Chester had their best moment in front of goal. Michael Brown beat goalkeeper John Ruddy only to see Bimson stop the ball on the goal line.
Cambridge had much more of the play especially during the first half but Danny Webb and Shane Tudor both wasted excellent chances by hitting shots straight at goalkeeper Chris MacKenzie.
Despite the flu bug affecting half a dozen players in the squad, it was Chester who finished the stronger especially after Tudor limped out of the action suffering from cramp with 15 minutes to go.
Cambridge boss Steve Thompson tried to inject some venom into his limp attack by sending on substitute strikers Dan Chillingworth and Jermaine Easter in the second half .
But neither of them managed to produce a real threat to the keeper and Cambridge never looked like recording their first victory for two months.