In this paper, the method of differential transform with two variables is combined the newly defined conformable derivative for fractional calculus. Some useful fundamental properties of presented method are given and used to get solutions of linear and non-linear differential problems with fractional order. To control the reliability, applicability and correctness of the technique we applied the method to distinct fractional partial differential problems which have exact solutions in the literature. The obtained results show that this suggested method is useful, appropriate and practical to linear and non-linear fractional differential problems.