This work examines multiple-modal constructions in Mandarin Chinese. It is shown that modals in Mandarin Chinese are ordered in specific ways, and, while a number of factors contribute to the determination of the hierarchical order of modals, the finiteness of the complement clauses that the modals take plays a particularly important role. A generalization proposed in this paper is that (i) if a modal takes a finite clause as complement, then the modal itself can only occur in a finite context; and (ii) if a modal takes a nonfinite clause as complement, then it can occur in a nonfinite context too. This generalization is shown to account for some ordering phenomena of modals in Mandarin Chinese that would otherwise remain mysterious.