Let (M_1,α),(M_2,β) be Hermitian manifolds.We prove F_εis a complex Berwald metric,where F_εis Szabómetric on the manifold M_1×M_2.Moreover F_εis strongly K(?)hler-Finsler whenα,βare K(?)hler metrics and also we obtain the explicit formula of its holomorphic curvature.