This paper examines multiple-classifier constructions in Chinese, in which two classifiers are stacked in one nominal position. The following three properties are found in these constructions: (i) strict linear ordering between different types of classifiers, (ii) definiteness/specificity of the lower DP, and (iii) obligatory non-distributive readings. The properties of multiple-classifier constructions allow us to study the syntax and semantics of nominal expressions in Chinese from a novel point of view. We argue that, syntactically, and against the bare NP analysis in Chierchia (in: Rothstein S (ed) Events and grammar, Kluwer, Dordrecht, pp 53–103, 1998a, Nat Lang Semant 6:339–405, 1998b) and the Classifier Phrase analysis in Cheng and Sybesma (Linguist Inq 30:509–542, 1999; in: Cinque G, Kayne R (ed) The Oxford handbook of comparative syntax, Oxford University Press, pp 259–292, 2005), from the properties of multiple-classifier constructions, a universal DP analysis is favored (as in Li, Linguist Inq 29: 693–702, 1998). Incorporating the theories in Zamparelli (in: Alexiadou A, Wilder C (eds) Linguistics today: possessors, predicates and movement in the determiner phrase, vol 22, John Benjamins, Amsterdam, pp 259–301, 1998) and Dayal (Linguist Philos 27:393–450, 2004), we demonstrate that a generalized Chierchian approach (without his semantic parameter) best captures the syntax–semantics mappings within nominal expressions in Chinese. From a compositional semantic point of view, we argue that multiple-classifier constructions should be treated as an instance of partitive construction with an empty partitive head. The hypothesis of an empty partitive head not only accounts for the properties of the multiple-classifier constructions, but it also offers explanations for the asymmetry of partitive readings in Chinese relative clauses.