The four-time Tony winner plays psychic Madame Arcati, Playbill reported. The Noel Coward comedy begins regular performances at the Shubert Theatre starting Sunday night.
The stage production will represent the Broadway debut for Everett, whose film credits include "My Best Friend's Wedding" and "An Ideal Husband."
"Blithe" will also serve as reunion for Lansbury, 83, and director Michael Blakemore, who previously worked together on a production of "Deuce."
Playbill said the comedy follows novelist Charles Condomine and his second wife, Ruth, who must deal with Condomine's deceased first wife whose ghost is conjured up by Arcati.