During the premiere stage greeting of the Psycho-Pass SS Case 3: Onshuu no Kanata ni movie, a third season for the franchise was announced titled Psycho-Pass 3. New cast members were also announced, who made guest appearances without prior announcements, along with Naoyoshi Shiotani (director) and Tomokazu Seki (Shinya Kougami). The airing schedule of the sequel was not indicated, but it will air on Fuji TV's noitaminA timeslot.

Cast
Arata Shindou: Yuki Kaji (Fukigen na Mononokean series)
Kei Michael Ignatoph: Yuuichi Nakamura (Osomatsu-san series)

Psycho-Pass first aired for 22 episodes in Fall 2012, followed by an 11-episode second season in Fall 2014 and a movie in January 2015. It later received a three-part Sinners of the System movie trilogy this year, with its third and final part recently premiering on Friday. A re-edited version of the first season also aired in Summer 2014. The 2015 movie won the Newtype Anime Award for Best Film that year. The series has also spawned several video-game spin-offs, a novel series, and a manga series.

Official site: https://psycho-pass.com/3rd/index.php

Source: Comic Nataile

Psycho-Pass 3 on MAL