In the present article, a direct approach, namely exp(−ϕ)-expansion method, is used for obtaining analytical solutions of the Pochhammer-Chree equations which have a many of models. These solutions are expressed in exponential functions expressed by hyperbolic, trigonometric and rational functions with some parameters. Recently, many methods were attempted to find exact solutions of nonlinear partial differential equations, but it seems that the exp(−ϕ)-expansion method appears to be efficient for finding exact solutions of many nonlinear differential equations.