The equilibrium of the solid-liquid interface in pressurized solidification process of binary alloys was studied using the Gibbs theory,and the stability of the solid-liquid interface was discussed based on the consideration of the effects of pressure on the diffusion coefficient,the interface growth rate and the equilibrium liquid composition.A mathematical description of the equilibrium status,the relationship of temperature,pressure,composition and interfacial tension was obtained,and further,a mathematical representation of the curvature radius of solid-liquid interface was developed,which facilitates a thorough understanding of the controlled variables of the interfacial stability.