Abstract: In this paper,the minimal conjecture on the Veronese Generating submanifolds in S(1) is generalized to minmal submanifolds in S". Two  classes  of  the  Generating  submanifolds  of  spherical  minimal   submanifolds  in Minkowski space are respectively space-like Minimal submanifolds of Hyperbolic space and  pseudo-Rie-mannian Minimal submanifolds of pseudo-Riemannian sphere and they are of l-type   submanifolds in Minkowski space is proved.

Key words:  , finite type submanifolds, minimal submanifolds, Minkowski space, Veronese Gener- ating submanifolds