The Danish forward headed home from four yards out from a gorgeous Carl Jenkinson cross to send the home side on their way to a sixth straight home win in the league.
Arsenal were utterly dominant in possession, and it was a minor miracle how Hull escaped to the refuge of the dressing room trailing only 1-0 at half-time with Allan McGregor making a fine stop to nudge a raking Araon Ramsey effort wide on 32 minutes.
Ozil finished off the outclassed visiting side for the night when he dashed onto a lovely Ramsey pass to slip the ball coolly beyond McGregor two minutes into the second period.
Arsenal maintain their four-point lead at the top over London rivals Chelsea, who came from behind to complete a 4-3 win at Sunderland.
2' - BENDTNER HEADER: Nicklas Bendtner nods into the net from the Jenkinson cross. Brilliant move and finish. Arsenal lead after their first attack.
17' - OZIL SHOWS CLASS: Bendtner almost in for the second goal of the night. Ball broke to him after McGregor had blocked the Ozil shot, but he couldn't control it in time. This is one-way traffic.
19' - SO CLOSE SAGBO: Graham with a delicious cross in Hull's best attack of the night, but Sagbo narrowly fails to connect. Monreal doing just enough there.
32' - McGREGOR STOP: Brilliant strike from Ramsey to wallop the shot at McGregor from 25 yards. Bit of cut spin on the ball, but a fine stop by the Scotland goalkeeper to nudge the ball wide.
47' - OZIL STRIKES: Ozil with a beautiful finish from the Ramsey pass. That is a terrific goal. Lovely stuff. No more than Arsenal deserve for their play this evening.
54' - McGREGOR TO THE RESCUE: Ozil then picks out Ramsey, but he can't finish the pass. Super little run by Ozil. Excellent stop in the end by McGregor.
Arsenal keep three successive clean sheets in the Premier League for the first time since between August and September 2012.
Hull have won only one of their last 31 Premier League away fixtures.
Arsenal are unbeaten in their last seven Premier League home matches against promoted teams, since a 1-0 loss to Newcastle in November 2010.
Nicklas Bendtner’s goal was his first in the Premier League since April 2012 & first in the competition for Arsenal since December 29th 2010.
How did Nicklas Bendtner perform upon his return? The Danish striker performed strongly in replacing Olivier Giroud. Certainly made his case for a starting place. Looked a bit rusty, but he will get better with more performances in the first team.
MAN OF THE MATCH
Mesut Ozil (Arsenal): Makes football look so simple with him and Ramsey almost telepathic at times in their passing movements. Ozil ran the show from deep making 87 percent of passes, and was unfortunate to finish the match with only one goal.
Arsenal: Szczesny 6, Jenkinson 8, Mertesacker 7, Koscielny 7, Monreal 7, Flamini 7, Ramsey 8, Rosicky 7, Cazorla 7, Ozil 8, Bendtner 7..subs: Arteta 6, Wilshere 6, Walcott 6
Hull City: McGregor 6, Figueroa 6, Elmohamady 6, Chester 6, Bruce 6, Meyler 6, Huddlestone 6, Livermore 6, Brady 6, Graham 5, Sagbo 6..subs: Rosenior 6, Boyd 6, Gedo 6
THE MATCH IN A TWEET