After Chester's Sam Hughes had headed against the bar, Moors led on 17 minutes when Jamey Osborne fired home through a crowded box after Liam Daly's header had hit the post.
Chester then hit the woodwork again from Evan Horwood's left-foot free kick before home striker James Alabi had a close-range header saved.
But Solihull doubled their lead from big centre-half Daly's thunderous right-foot volley from a free-kick, following Jordan Chapell's challenge on Shepherd Murumbedzi.
Home keeper Alex Lynch denied Harry White from close range before Daly headed against the bar.
But White got the Moors' third from the spot, crashing home right-footed off the underside of the bar after referee Peter Wright had harshly awarded a penalty when Murumbedzi's fierce 25-yard shot struck Chester defender Luke George's arm.
Chester drop to ninth, seven points shy of the play-offs, nine points ahead of 16th-placed Solihull, who had won 3-2 at Damson Park against City's 10 men on Boxing Day.
Match ends, Chester FC 0, Solihull Moors 3.
Second Half ends, Chester FC 0, Solihull Moors 3.
Substitution, Solihull Moors. Pearson Mwanyongo replaces Omari Sterling-James.
George Carline (Solihull Moors) is shown the yellow card.
Substitution, Solihull Moors. Akwasi Asante replaces Harry White.
Goal!  Chester FC 0, Solihull Moors 3. Harry White (Solihull Moors) converts the penalty with a.
Tom Shaw (Chester FC) is shown the yellow card.
Substitution, Solihull Moors. Curtis Obeng replaces Jack Byrne.
Goal!  Chester FC 0, Solihull Moors 2. Liam Daly (Solihull Moors).
Substitution, Chester FC. Theo Vassell replaces Evan Horwood.
Second Half begins Chester FC 0, Solihull Moors 1.
First Half ends, Chester FC 0, Solihull Moors 1.
Goal!  Chester FC 0, Solihull Moors 1. Jamey Osborne (Solihull Moors).
Evan Horwood (Chester FC) is shown the yellow card.
First Half begins.
Lineups are announced and players are warming up.
Solihull Moors further eased their National League relegation fears with a second Yuletide win over play-off hopefuls Chester inside seven days.