Since the acoustic velocity is an acoustic index that can reflect the comprehension physical properties of formation rock in fairly good condition, it is widely used in all the technical fields of oil exploration and development. In this paper, the methods of the rock acoustic velocities and the uniaxial compression strength measurement in the laboratory are introduced briefly. And the studies of the correlation the acoustic velocity with uniaxial compression strength of rocks and the surface acoustic velocity with logging acoustic velocity by regression analysis, their data analysis procedure and their qualitative-quantitative conclusions are discussed deeply. Based on comprehensive analysis, the paper describes the mathematical models and their prediction profiles that are established for field to predict uniaxial compression strength of rocks by means of acoustic velocities from logging. As a content of an experimental study, the application prospect of this research result is also presented in the conclusions.