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In this article,we extend the well-known Roper-Suffridge operator on Bn+1 and bounded complete Reinhardt domains in Cn+1,then we investigate the properties of the generalized operators.Applying the Loewner theory,we obtain the mappings constructed by the generalized operators that have parametric representation on Bn+1.In addition,by using the geometric characteristics and the parametric representation of subclasses of spirallike mappings,we conclude that the extended operators preserve the geometric properties of several subclasses of spirallike mappings on Bn+1 and bounded complete Reinhardt domains in Cn+1.The conclusions provide new approaches to construct mappings with special geometric properties in Cn+1.