This study examines how Sam Shepard has treated various themes to present the reality of postmodern American life. Shepard also dramatises the conflict between the claims of the past and the realities of the present. The present paper focuses on the battle between two brothers and the qualities they inherit from their parents. It reflects the distinction between the reality and myth. Apart from that it explores how Sheppard debunks the American myth of family and the myth of American dream; it also compares the New West with the Old West. The focus is also on the escapism of characters from reality of past in order to attain a new identity. In True West, Shepard presents a contrary vision to the traditional American Dream that infuses much of our life and literature. Sam Shepard gives a tragic depiction of society in which he perceives good being erased out slowly by the evil forces. The degeneration of traditional myths and the rise of a new mythology in a society that considers itself post mythical and purely scientific expose the dispersal of meaning, the waning of community, and the psychological backbone of individuals whose selves have been torn apart.