We have calculated the photodissociation cross section of NaH through the B 1 ∏ state. We have solved the time-dependent Schrodinger equation by using the Chebyshev-polynomial scheme and Fourier grid Hamiltonian method. We have used four different sets of potential-energy curves for X 1 Σ + and B 1 ∏ states [E. S. Sachs, J. Hinze, and N. H. Sabelli, J. Chem, Phys. 62, 3367 (1975); R. E. Olson and B. Liu, J. Chem. Phys. 73. 2817 (1980); W. C. Stwalley, W. T. Zemke, and S. C. Yang, J. Phys. Chem. Ref. Data 20, 156 (1991)]. We have found that the values of maximum photodissociation cross section and the corresponding photon energy depend on the choice of the potential-energy curves. But all these results differ significantly from an earlier calculation [K. Kirby and A. Dalgarno, Astrophys. J. 224, 444 (1978)]. We have also found that the photodissociation occurs mainly due to the Franck-Condon transitions.