The purpose of the present paper is to consider and study a special form of Rund's h-curvature tensor K(superscript i subscript ljk) and Berwald's curvature tensor H(superscript i subscript ljk) in an R3-like C-reducible Finsler space. In this paper, we modify the Rund's h-curvature tensor K(superscript i subscript ljk) to special form by using some special Finsler spaces like C-reducible, R3-like Finsler spaces.