The paper is a study of CR-submanifolds of a generalized Sasakian space form. Let be an almost contact metric manifold with constant -sectional curvature , and curvature tensor given by
where , and are differentiable functions on . The authors consider four types of generalized Sasakian space forms determined by the , which are functions of the constant -sectional curvature: Sasakian, Kenmotsu, cosymplectic, and almost . The authors obtain formulas for the sectional curvature of CR-submanifolds in each case, as well as formulas for the Ricci tensor and scalar curvature for minimal -horizontal CR-submanifolds.