In this paper, the combined fractional Laplace transform and new Adomian decomposition method(FLTNADM) is employed for solving conformable fractional coupled Burgers equation. Because of difficultyand complex procedure of Adomian polynomials calculations, He polynomials based on homotopy perturba-tion method instead of Adomian polynomials, are used. The results obtained are in good agreement with theexact solution. These results show that the technique introduced here is accurate and easy to apply with lesscomputational work than other methods.