Presented in this paper are some primary data on the temperature,stratigraphical altitudeand thickness of a certain uranium ore deposit.Taking these data as the parameters for the tem-perature,pressure and geochemical conditions of uranium mineralization under ideal geologicalconditions which constitute a finite variable series,in conjunction with the catastrophe theorydeveloped by Rene Thom (1968),we have proposed a swallow-tail model fit to uranium minera-lization.This model provides insight into the mechanism of uranium mineralization.Our study shows that the process of uranium mineralization is a discontinuous or catastro-phic event.Temperature and pressure are considered important thermodynamic conditions whichcontrol the distribution pattern of uranium mineralization,and the principle of temperature-pres-sure correspondence for uranium mineralization has been also derived.Geological bodies of mi-nerogenetic importance serve as favourable geochemical media for capturing ore-forming mate-rials.Uranium mineralization of commercial importance depends on a delicate coupling betweentemperature,pressure,and geochemical condition.The loci of uranium mineralization in the mo-del constitute the surface K,referred to as the surface of enrichment-mineralization,on whichminerogenetic domain is expected.The model provides quantitatively clues to the process of uranium mineralization,i.e.,a pro-cess from quantitative to qualitative changes. Presented in this paper are some primary data on the temperature, stratigraphical altitude and thickness of a certain uranium ore deposit. These data as the parameters for the tem-perature, pressure and geochemical conditions of uranium mineralization under ideal geological conditions which constitute a finite variable series , in conjunction with the catastrophe theory developed by Rene Thom (1968), we have proposed a swallow-tail model fit to uranium minera-lization. This model provides insights into the mechanism of uranium mineralization. Our study shows that the process of uranium mineralization is a discontinuous or catastro-phic event. Temperature and pressure are considered important thermodynamic conditions which control the distribution pattern of uranium mineralization, and the principle of temperature-pres-sure correspondence for uranium mineralization has been derived. Geological bodies of mi-nerogenetic importance serve as favourable geochemical media for capturing ore-formin uranium mineralization of commercial importance depends on the interaction between the uranium mineralization of the mineralization in the mo- del constitute the surface K, referred to as the surface of enrichment-mineralization, on which mineralrogenetic domain is expected. The model provides quantitatively clues to the process of uranium mineralization, ie, a pro-cess from quantitative to qualitative changes.