Gibson responded on Friday, admitting he had hoped to see the show until its end.
"I love Criminal Minds and have put my heart and soul into it for the last twelve years," he said. "I had hoped to see it through to the end, but that won't be possible now. I would just like to say thank you to the writers, producers, actors, our amazing crew, and, most importantly, the best fans that a show could ever hope to have."
The announcement comes after Gibson, who portrays Aaron Hotchner on the crime drama, was temporarily removed from set after he allegedly kicked a writer in the leg while filming a scene a few weeks ago.
"There were creative differences on the set and a disagreement," Gibson explained to ET in a statement on Thursday. "I regret that it occurred."
Though he gave no indication that he was leaving the show.
"We all want to work together as a team to make the best show possible," he continued. "We always have and we always will."
Gibson has starred on the series since 2005, and was a main character for all 11 seasons. Earlier this year, the show said goodbye to another longtime cast member, Shemar Moore, who played FBI agent Derek Morgan. However, Moore left the door wide open for a return when ET talked to him in March.
"Last night was not goodbye," Moore said, explaining that Criminal Minds show producers, CBS and ABC have all agreed that he's welcome to come back to "dance and play" at any time. "Derek didn't die, so anything is possible."
Watch the video below for more on Gibson's recent on-set drama.