CBS and Paramount confirmed Abrams' comment to Buzzfeed reporter Adam Vary after the event.
Vary also reported that Alec Peters, Axanar's executive producer who was in the audience on Friday night, was unaware that the two studios were intending to drop the suit against his company until he heard Abrams' story that evening.
CBS and Paramount filed the lawsuit against Axanar Productions and its executive producer, Alec Peters, in December.
Although the two companies have encouraged fan fiction in the past, the Axanar project intended to make a professional-looking Star Trek feature film, even hiring people who had worked on canon Star Trek installments before, and CBS and Paramount took umbrage with that plan.
In March, lawyers for CBS and Paramount detailed many of the specific instances in which Axanar Productions had allegedly infringed on the studios' copyrighted works during a 20-minute prequel called Prelude to Axanar.
In a blog post published on Sunday, Peters wrote on behalf of Axanar Productions: It was a great moment for Axanar and we are very grateful to both JJ and Justin Lin.