A patient performance wore down a Telford team who look bound for relegation and made it eight home games without defeat for the Blues.
After a decent start, the Bucks faded badly and did well to get to the break without conceding but the deadlock was broken seven minutes into the second half.
Captain Matty Brown flicked home a corner before the unfortunate Andy Parry put through his own net on 76 minutes and the Blues were able to coast home against a side low on confidence and threat.
Not for the first time this season, the Blues had flattered to deceive and followed a couple of decent results with a bad one.
Overall the mood was positive but there were defensive concerns and a worrying inclination to take too long to get into games.
Kingsley James made a welcome return to a midfield that failed to inspire in the 3-2 defeat at Nuneaton Town on the weekend.
There was no place for Craig Hobson despite him coming off the bench to score twice and Matty Hughes started for what might be the final time with Fleetwood Town considering a recall.
Telford were celebrating the Conference North title back in April but 14 defeats from 22 league matches meant that felt a long time ago.
Liam Watson's team went into the game bottom of the table and nine points from safety, so there was much to be done over the rest of the campaign.
Ex-Southport boss Watson reckoned his side had started to turn the corner and a 1-1 draw with second-placed Grimsby Town on Saturday suggested he might have a case.
He made one change from that game, recalling the fit-again Mike Grogan in place of Kristian Platt, one of three former Blues in the squad along with Freddy Hall and Tony Gray.
Telford made the more impressive start and were close to taking the lead in the third minute when Godfrey Poku had a pop from outside the box and his strike deflected over Jon Worsnop and off the crossbar.
Chester settled down and began to spread possession across the pitch, leading to decent chances for Sean McConville and Craig Mahon, who might have done better when he dragged wide.
McConville had a decent penalty shout on 15 minutes, going down under Kyle Brownhill's challenge after breaking into the area but referee Richard Wigglesworth turned the appeals down.
Chester had the upper hand with John Rooney fizzing a shot past the post after a clever McConville corner but the Bucks had a good chance too, Sam Smith and Karl Ledsham unable to convert Ryan Higgins' cross.
Hughes almost benefited from a Hall mistake on the half hour when the keeper threw the ball into his defender Rod McDonald but the rebound was kind to the Bucks.
McConville was then involved in another penalty appeal, this time after his goal-bound shot appeared to strike a defender's arm but again Mr Wigglesworth wasn't interested.
Hall denied Rhys Oates on 35 minutes after the on-loan forward pounced on McDonald's misread and raced through on goal but the keeper blocked well.
Chester kept pressing with McConville curling wide and Hughes testing hall from distance but the Bucks held firm despite some nervous moments to go into half time level.
Telford boss Watson switched things around for the second half, bringing on Josh Hancock for Steve Akrigg to strengthen the midfield.
His change did little to stem the flow of possession and the Blues got the breakthrough on 52 minutes when Hall failed to deal with McConville's corner and Brown nodded home.
Telford did pose greater threat with four in the middle but were more open too and the pace of Hughes, Mahon and Oates had them troubled.
Chester continued to have the better of the game but the chances began dried up and the longer the game went on, the more the need for another goal grew.
Hughes might have provided that on 74 minutes when he skipped behind the defence but his shot lacked power and Hall was able to block with his legs.
Two minutes later and the second goal arrived after Hall and Parry got themselves in a mess with Oates lurking and the keeper's attempted clearance ricocheted into the net off the defender.
With that the fight went out of the Bucks and the contest was all but over.
Chester saw the game out with relative ease, bringing on Danny Harrison, Ibou Touray and Tom Peers to give James, Mahon and McConville well deserved rests.
Attention now turns to the FA Cup and an exciting trip to League One club Barnsley in the second round.
Chester FC: Worsnop, Kay, Brown, Charnock, G Roberts, James (Harrison 81), Rooney, Mahon (Touray 85), McConville (Peers 90), Hughes, Oates.
Subs: C Roberts, Hobson.
Goals: Brown 52, Parry OG 76.
Booked: Kay, Mahon.
AFC Telford United: Hall, Higgins, Parry, Akrigg (Hancock 46), McDonald, Brownhill, Grogan (Cooke 64), Poku, Ledsham, Smith, Gray (Farrell 72).
Subs: Hedge, Platt.
Booked: Poku, Grogan, Parry.
Referee: Richard Wigglesworth (Doncaster).
Attendance: 1,860.
