A pair of early strikes set them on their way. Defender Moussa Diarra netted his first goal in Barrow colours, not long after Danny Livesey had hit the bar.
Within three minutes, the Bluebirds' new goalscoring machine, Byron Harrison, grabbed his 12th goal since signing from Chesterfield in the summer.
Harrison nearly made it 3-0 when he hit the woodwork in the second half. Instead, Akwasi Asante went down the other end and was more clinical with his finish.
Jamey Osborne then hit the bar as Solihull rallied strongly, but the push was ultimately fruitless.
Report supplied by the Press Association.
Match ends, Barrow 2, Solihull Moors 1.
Second Half ends, Barrow 2, Solihull Moors 1.
Substitution, Barrow. Lindon Meikle replaces Jordan Williams.
Jamey Osborne (Solihull Moors) is shown the yellow card for a bad foul.
Substitution, Barrow. Andy Haworth replaces Alex-Ray Harvey.
Substitution, Solihull Moors. Harry White replaces Eddie Jones.
Substitution, Barrow. Akil Wright replaces Richard Bennett.
Eddie Jones (Solihull Moors) is shown the yellow card for a bad foul.
Substitution, Solihull Moors. Omari Sterling-James replaces Darryl Knights.
Nick Wilmer-Anderton (Barrow) is shown the yellow card for a bad foul.
Goal!  Barrow 2, Solihull Moors 1. Akwasi Asante (Solihull Moors).
Second Half begins Barrow 2, Solihull Moors 0.
First Half ends, Barrow 2, Solihull Moors 0.
Jack Byrne (Solihull Moors) is shown the yellow card for a bad foul.
Jordan Gough (Solihull Moors) is shown the yellow card for a bad foul.
Goal!  Barrow 2, Solihull Moors 0. Byron Harrison (Barrow).
Goal!  Barrow 1, Solihull Moors 0. Moussa Diarra (Barrow).
First Half begins.
Lineups are announced and players are warming up.
Barrow took their incredible run of form to 18 matches unbeaten with a 2-1 home win over Solihull.