A clinical first half Bromley display heaped more London-based misery on the Blues at the Courage Stadium.
National League leading scorer Moses Emmanuel bagged a brace, scoring first half goals either side of Louis Dennis's strike.
The hosts had the first real chance of the game - as Anthony Cook curled a shot wide from twenty yards.
The Blues' attacking creation was a threat throughout the first half - with Jordan Chapell and Craig Hobson blasting their respective shots over the crossbar.
Nevertheless, the sucker punch arrived from Bromley in the form of the prolific Moses Emmanuel; he pounced onto a mistake by Ben Heneghan and slotted home.
Ross Hannah would then miss a glorious chance moments later - volleying wide from six yards from a pinpoint corner.
The lead was doubled for the Lillywhites ten minutes after their opener - as Louis Dennis beat the offside trap and slid the ball past Jon Worsnop.
Steve Burr's side squandered a flurry of chances in the lead up to half time; Ian Sharps bundled the ball over the bar from six yards - before Craig Mahon forced Chris Kettings into two smart saves in a matter of minutes.
A miserable first half would be made even worse following these chances, as Emmanuel made it three on the stroke of half time - volleying home from close range.
After the break, Chester's attacking stranglehold would continue - with John Rooney stinging the palms of Kettings from long range - before Hobson rifled a shot just off target.
Chris Kettings put in a superb performance in the home net - he made his best save of the lot to deny Tom Shaw with just ten minutes remaining; condemning the Blues to successive defeats.
Bromley: Kettings, Udoji (Rodgers 79), Fuseini, Swaine (Francis 70), Holland, Cook, Anderson, Dennis (Joseph-Dubois 84), Porter, Emmanuel, Chorley.
Subs Not Used: Prestedge, Goldberg.
Chester: Worsnop, Higgins, Heneghan (Kay 46), Sharps, Hunt, Rooney, Shaw, Mahon, Chapell, Hannah, Hobson (Peers 60).
Subs Not Used: Forth, Tonge, Hughes.
Booked: Hunt, Sharps.
Scorers: Emmanuel 19 & 45, Dennis 29.
Attendance: 1,610 (213 away).
Referee: Alan Young.