Goals in each half proved enough for Marcus Bignot's Mariners, who had gone into the game on the back of defeats to Crawley, Portsmouth and Doncaster.
Grimsby broke the deadlock when Bolarinwa took advantage of a slip from Accrington's Omar Beckles to go through one-on-one with goalkeeper Aaron Chapman before slotting the ball home.
Accrington came out well for the restart and went close to pulling level, but Grimsby goalkeeper Dean Henderson, on loan from Manchester United, blocked Billy Kee's shot on the goalline.
As the second-half wore on, Accrington pushed for an equaliser with John O'Sullivan's strike clipping the side-netting and substitute Shay McCartan forcing Henderson to kick away a low effort.
But, as the visitors chased the game, Grimsby sealed the points when top-scorer Omar Bogle set up Chambers and after touching the ball past the last defender, he slammed home the Mariners' second.
Report supplied by the Press Association
Match ends, Grimsby Town 2, Accrington Stanley 0.
Second Half ends, Grimsby Town 2, Accrington Stanley 0.
Corner,  Accrington Stanley. Conceded by Danny Collins.
Corner,  Accrington Stanley. Conceded by Ashley Chambers.
Attempt blocked. John O'Sullivan (Accrington Stanley) right footed shot from the centre of the box is blocked.
Craig Disley (Grimsby Town) wins a free kick on the right wing.
Foul by Zak Vyner (Accrington Stanley).
Attempt blocked. Billy Kee (Accrington Stanley) right footed shot from the centre of the box is blocked.
Substitution, Grimsby Town. Andrew Boyce replaces Ben Davies.
Corner,  Accrington Stanley. Conceded by Dean Henderson.
Attempt saved. Jordan Clark (Accrington Stanley) right footed shot from the left side of the box is saved in the bottom left corner.
Goal!  Grimsby Town 2, Accrington Stanley 0. Ashley Chambers (Grimsby Town) left footed shot from the centre of the box to the centre of the goal. Assisted by Omar Bogle.
Substitution, Accrington Stanley. Terry Gornell replaces Omar Beckles.
Attempt missed. Billy Kee (Accrington Stanley) header from the centre of the box is too high.
Corner,  Accrington Stanley. Conceded by Luke Summerfield.
Corner,  Accrington Stanley. Conceded by Shaun Pearson.
Foul by Luke Summerfield (Grimsby Town).
Billy Kee (Accrington Stanley) wins a free kick in the defensive half.
Substitution, Grimsby Town. Kayden Jackson replaces Tom Bolarinwa.
Substitution, Grimsby Town. Craig Disley replaces Brandon Comley.
Matty Pearson (Accrington Stanley) is shown the yellow card for a bad foul.
Tom Bolarinwa (Grimsby Town) wins a free kick in the defensive half.
Foul by Matty Pearson (Accrington Stanley).
Omar Bogle (Grimsby Town) wins a free kick in the attacking half.
Foul by Matty Pearson (Accrington Stanley).
Attempt saved. Shay McCartan (Accrington Stanley) right footed shot from the centre of the box is saved in the centre of the goal.
Attempt missed. John O'Sullivan (Accrington Stanley) right footed shot from outside the box is close, but misses to the left.
Corner,  Grimsby Town. Conceded by Aaron Chapman.
Attempt saved. Omar Bogle (Grimsby Town) left footed shot from outside the box is saved in the bottom left corner.
Attempt missed. Seamus Conneely (Accrington Stanley) right footed shot from the centre of the box is just a bit too high.
Foul by Omar Bogle (Grimsby Town).
Seamus Conneely (Accrington Stanley) wins a free kick in the attacking half.
Danny Andrew (Grimsby Town) is shown the yellow card for a bad foul.
Foul by Danny Andrew (Grimsby Town).
John O'Sullivan (Accrington Stanley) wins a free kick on the right wing.
Substitution, Accrington Stanley. Shay McCartan replaces Scott Brown.
Corner,  Accrington Stanley. Conceded by Danny Collins.
Attempt saved. Scott Vernon (Grimsby Town) header from the centre of the box is saved in the top right corner.
Omar Bogle (Grimsby Town) wins a free kick in the defensive half.
Foul by Omar Beckles (Accrington Stanley).
Grimsby halted a run of three straight defeats with a victory over Accrington thanks to goals from Tom Bolarinwa and Ashley Chambers.