Abstract This article investigates probability distributions of the dependency relation extracted from a Chinese dependency treebank. The author shows the frequency distributions of dependency type, of word class both as a dependent and a governor, of verb as a governor, and of noun as a dependent. The fitting results reveal that most of the investigated distributions are excellently fitted with a modified right-truncated Zipf-Alekseev distribution. In the analysis of exponential regressions, most of the determination coefficients R 2 are very good, which is an alternative evidence that the investigated distributions are fitted well.