In a chat with NBC's morning news show, Today, Zachary Quinto let slip that Star Trek III now has an approximate start date. Earlier this summer, Roberto Orci announced that he, J.D. Payne, and Patrick McKay turned in a first draft of the script, and he has stated that the status of the sequel would be based around how the studio reacted to that script. If Quinto is to be believed, then it would appear Paramount liked what they saw.
"I think it's on the horizon. Things are rumbling, so I have a feeling we'll be back in production sometime in the next six months."
That's what Spock said when asked about the status of the threequel, which will be the first of the rebooted series not to be directed by J.J. Abrams. Abrams has moved on to another cosmic galaxy, assuming the directing duties for Star Wars: Episode VII. This leaves Orci, a writer on both of the first two films in the relaunched franchise, in the captain's chair for this one.
You can check out Quinto's comments in the video below (They come at around the 3:33 mark), as well as learn about his latest project, "The Chair":
Assuming that everything falls into place, Paramount is looking to release Star Trek III in 2016.