The Gunners forward was arrested by police in Hertfordshire on suspicion of causing criminal damage in his luxury apartment building near Bushey.
The 25-year-old striker was later cautioned and released before writing a message on his Instagram to get his side of the story out to fans.
He wrote: "On Saturday night after our win against Southampton I went out with my family and friends for dinner."
"After our dinner we all wanted a night swim in my gym so we changed to shorts and brought towels down.
"As we arrived at the gym my key fob changed the colour from red (locked) to green (open) but the door remained closed.
"We thought the door was stuck so we tried to open it and it caused some damage.
"I apologise for any inconvenience for my neighbours and I have paid in full.
"We had no part in damaging anything else in the building. The matter is closed with the police, and my focus is on tonight's match."
Having been let off with a caution, Bendtner will not have to attend court and has been free to prepare for Arsenal's match this evening against Marseille in the Champions League.
The Denmark international has largely been restricted to substitute appearances this season, and is expected to be named on the bench again tonight.
And it's not the first time Bendtner has found himself in a spot of bother. He landed a €100,000 fine and a one-match ban from UEFA for dropping his shorts to celebrate a goal at Euro 2012 - in the process revealing a bookmakers' logo.