The project, from Fox TV Studios, follows agents from various federal and local agencies such as the DEA, FBI and LAPD who all live at an undercover house in Southern California.
Tveit will play Mike Warren, an FBI agent fresh out of the academy.
Tveit has also been seen on Broadway in Next to Normal, Wicked and Hairspray, and starred in the Hollywood Bowl production of Rent. His film credits include "Ghost Town" and "Howl."