Peterborough's slim play-off hopes were ended at Chester.
The home went ahead when Adam Newton made a mess of his attempted back header and Simon Yeo cleverly lobbed the ball over keeper Mark Tyler.
The visitors poured forward and their pressure told on 72 minutes when Craig Mackail-Smith's cross was put into his own net by Dave Artell.
Posh sought a winner but had no success - much to the annoyance of boss Darren Ferguson who was sent off late on.
Chester: Danby, Linwood, Bolland, Artell, Hessey, Hand, Rutherford (Meechan 84), Cronin, Wilson, Steele (Holroyd 58), Yeo.
Subs Not Used: Palethorpe, Vaughan, Bennett.
Booked: Cronin, Hand, Linwood, Meechan, Yeo.
Goals: Yeo 13.
Peterborough: Tyler, White (Blanchett 71), Morgan, Blackett, Newton, Hyde, Strachan (Butcher 46), Gain, Low, Mackail-Smith, Boyd.
Subs Not Used: Jalal, Richards, Futcher.
Booked: Blackett, Gain, Mackail-Smith, Newton.
Goals: Artell 71 og.
Ref: D McDermid (Hampshire).