The six-episode series will focus on an ex-First Lady and newly-appointed Secretary of State played by Sigourney Weaver, who throws herself into her new appointment in order to cope with her divorce.
Deadline reports that Redgrave will play a lesbian Supreme Court justice in the series, alongside Weaver, Carla Gugino, Ciaran Hinds and Ellen Burstyn.
Political Animals is scheduled for broadcast on Sunday, July 15 at 10pm EST.
This will mark Redgrave's first return to television since her appearance on the FX drama Nip/Tuck.
The 75-year-old actress recently had to scale back her movie work due to health concerns.