This article is the first variationist analysis of speakers of an analytic language acquiring an agglutinative language: we investigate the acquisition of the rich Hungarian verbal morphological system by adult Chinese immigrants to Budapest. Multivariate analyses of data extracted from sociolinguistic interviews with nine untutored Chinese learners of Hungarian suggest that the acquisition of verbal morphology is systematic. Factors that have been identified as significant in studies of the acquisition of other languages, such as frequency, perceptual salience, morphophonological regularity, and semantic complexity, all play a significant role in the acquisition of Hungarian as a second language. The marking of definiteness or indefiniteness of the object on the verb, a rare aspect of verbal morphology, also has a significant effect. Chinese learners are more likely to mark definite than indefinite forms of the verb, despite the fact that these forms express largely redundant functions and that indefinites are more frequent. Hence, our data allow for an analysis of relative weights of factors affecting acquisition and address the issue of the relative weight of frequency over other factors.