In this paper, a new exact solution of the conformable Gilson-Pickering equation is investigated. It should be noted that some of the individual cases of the Gilson-Pickering equation are the conformable Camassa-Holm, the conformable Fornberg-Whitham, and the conformable Rosenau-Hyman equations. A new version of modified Kudryashov’s method with the help of the mathematical software package is employed to carry out this aim. It is believed that the new modified Kudryashov’s method is well suited, such that it can adapt to a broad range of partial differential equations.