Gaussian nonlocal pseudopotentials are introduced for the simplification of the description of second row elements. Pseudopotential parameters for P, S, and Cl are presented. The pseudopotential method is applied to HCl, H2S, and PH3. Substantial reduction in the dimension of the orbital basis set is achieved. Results on total valence energies, binding energies, ionization potentials, force constants, equilibrium bond angles, bond lengths, and dipole moments are presented and compared to experiment as well as to the results of calculations with other methods.