International Mathematical Forum, 5, 2010, no. 45, 2213 - 2224 Locally Conformal Kahler Manifold of Pointwise Holomorphic Sectional Curvature Tensor Habeeb M. Abood and Nawaf J. Mohammad Basrah University, Education College Mathematics Department, Basrah-Iraq iraqsafwan@yahoo.com Abstract In the present paper we found the necessary condition in which a locally conformal Kahler manifold is a manifold of a pointwise holomorphic sectional curvature tensor. It has been proved that, if M is a Locally conformal Kahler manifold of the pointwise holomorphic sectional curvature tensor and projective(conformal) flat with J-invariant Ricci tensor, then M is an Einstein manifold. Mathematics Subject Classification: 53C55, 53B35 Keywords: Locally conformal Kahler manifold, pointwise holomorphic sectional curvature tensor, projective tensor, conformal curvature tensor 1. Introduction Fifty years ago, a number of researchers studied one of the most important subjects of differential geometry, whose application is used in the synthesis of the differential geometrical structure, it is called "Almost Hermitian manifold". This subject is classified into different components for an attempt to determine its specifications and features accurately. The first practical study was done by Koto 1960 [10], upon the findings of which had been depended by Gray to set forth a number of examples on practical manifolds in 1965 [3]. A new study about the kinds of almost Hermitian manifold was conducted by Gray and Hervella in 1980 [4], they found that the effect of the