The curvature tensor Phijk of a Finsler space has a mixed character, while Rhijk is horizontal and Shijk is vertical in a sense. Because we have no resemblance to Phijk in the Riemannian geometry, the problem to study it may be rather difficult. Recently the problem of Phijk has also been raised from the viewpoint of physics. Continuing previous paper , we study Phijk satisfying some special conditions and the possibility of deducing the so-called Ricci tensor from Phijk. Further a special form of the curvature tensor Shijk is proposed and a problem relating to Phijk is studied.