The problem treated in Part I in terms of a continuous µ-variable is here treated in the double-PN approximation for azimuthally symmetric situations. Exqplicit representations for basic matrices are derived. The transfer matrix equations were solved on the CDC-6600. Results are presented for two problems of interest—transmission and reflection from thick slabs and the finite reflector critical problem. Anisotropic scattering is considered in both cases. Tables of typical computing times are presented.