Orci, who co-wrote the first two JJ Abrams-directed films with writing partner Alex Kurtzman and Damon Lindelof, will return to pen the script for the upcoming sci-fi blockbuster and he will be joined by franchise newcomers Payne and McKay, according to The Hollywood Reporter.
There is currently no timeline for the third film, but Paramount Pictures and Skydance Productions are hoping to release it in 2016 to celebrate the 50th anniversary of 'Star Trek'.
Stars Chris Pine, Zachary Quinto and Zoe Saldana are all expected to return.
Producers are eyeing 'Attack of the Block' director Joe Cornish for the next feature.
The film's release would follow the huge success of 'Star Trek Into Darkness', which grossed USD 476 million at the box office earlier this year.