In this paper, the Fractional Laplace Differential Transform Method is presented firstly in the literature and applied to the fractional partial differential equations to obtain approximate analytical solutions. This method is a combined form of the Laplace transform and Differential Transform Method. The obtained numerical solutions by the Fractional Laplace Differential Transform Method show that this method is easy to carry out and has high accuracy. These results reveal that the proposed method is a promising tool for solving fractional partial differential equations. The described method in this study is expected to be employed to more problems in fractional calculus.