It is studied Finsler Submanifods in Minkowsky space,particularly, in Randers Space.It has been given generalization Toponogovs, Cheeger-Gromoll theorem for Randers Space. It has been proved safficient conditions for cylindricity complete Finsler Submanifolds in Minkowsky Space. It has been found the conditions when from convexity of hypersurface in Randers space it follows positiveness of Flag curvature.