Abstract: An ingenious method has been discussed to provide a brief way for the derivation of the streaming term expression in the spherical geometry coordinate system. Instead of finding the differential relationship between the dihedral angle and the neutron transport distance, finding the geometry relationship between the dihedral angle and other plane angles is much easier. And then the differential relationship (easy to be derived) between the other plane angles and the neutron transport distance can be used to derive the expression of the streaming term in the spherical geometry coordinate system indirectly but easily. This method makes the derivation process easy and intuitive, with clear physical picture.