In this paper, a new method for solving some differential equations called the double Laolace-NO transform is presented. This technique is efficient in solving partial differential equations; several properties of this dual technique are introduced and the Laolace-NO transform of the basic functions is found. In addition, we apply this dual technique to find the exact solution of the Laplace and Poisson partial operator equations. The advantage of this technique is that it has three coefficients in addition to generality.