The paper presents a comparison between some published models for predirection of compression index (Ci) from some soil physical properties such as liquid limit (Wl), initial void ratio (e0) and initial water content (Wn) based on the test results of 200 soil samples in Thai Nguyen city. The comparison shows that the models for prediction of compression index (Ci) from liquid limit (Wl) do not work well for soils in Thai Nguyen city. The three best models for prediction of (Ci) from initial water content (Wn) are: Azzouz (1976) and Yoon (2004). Concurrently, the verification of the models, the author did both single and multiple regression analyses to propose several equations for prediction of virgin and recompression indices with quite high relations (R2 = 0,61 to 0,85).