The syntactic relationship between the quantifier and the noun phrase (NP) and the function of the quantifier in the sentence are studied. In the first part of the paper, the theories of several linguists concerning the structure of the NP that includes a quantifier are reviewed. In parts 2 and 3 a syntactic description of the quantifier is presented, in which the quantifier is introduced in the deep structure as part of a noun phrase. Examples from French, English, Japanese, Chinese, and Thai are used throughout. (PMP)