Let (M, g,/) be an almost Hermitian manifold with almost complex structure tensor/and almost Hermitian metric tensor g. By R we denote the Riemannian curvature tensor; R (X, Y) Z= PLχ< YΊZ—[l7χ, FY} Z. The holomorphic sectional curvature H (X) for a unit tangent vector X is the sectional curvature K (X, fX)= g (R (X, fX) X, JX). Let x be a point of M. If H (X) is constant for every unit tangent vector X at x,(M, g,/) is said to be of constant holomorphic sectional curvature at x. If H (X) is constant for every x and every tangent vector X at Xj then (M, g,/) is said to be of constant holomorphic sectional curvature. One of the main theorems is as follows: