The Blossom star will don the group's legendary bow-tie for a three-week special engagement at the Rio All-Suites Hotel & Casino, beginning on 7 June (12).
The actor's representative confirmed the news to TMZ.com, insisting the toned 36 year old has signed up to do the "whole nine yards".
Lawrence follows in the footsteps of stars like Baywatch actor Jeremy Jackson and 98 Degrees singer Jeff Timmons, who have previously bared almost all for cash at the saucy, adults-only revue.