Rockwell, 46, last appeared on the Broadway stage in 2010's 'A Behanding in Spokane'.
He will play one half of a troubled former couple working through its issues in a desert motel opposite 'Venus in Fur' Nina Arianda next autumn, reported Contactmusic.
The pair will tackle the parts originally made famous by Ed Harris and Kathy Baker off-Broadway in 1983.
Robert Altman directed a film adaptation of the project in 1985, featuring writer-actor Shepard and Kim Basinger in the leading roles.
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