Objective：To establish the theoretical model of the morphology of lipid droplets adhering to the inner vascular wall, and provide a theoretical model for the study and analysis of the overall morphology of lipid droplets on the inner vascular wall of patients with fat embolism. Methods：The variable radius model of the droplet on the inner wall of the cylindrical tube is established to describe the theoretical morphology of lipid droplets on the inner vascular wall, and the accuracy of the model which predicts the contour and topography parameters of the lipid droplets when they adhere to the inner vascular wall is verified by Surface Evolver (SE) software results. According to the theoretical model, the influence of the two parameters of lipid droplet volume and contact angle on the non-dimensional adhesion area and the blockage ratio κ of lipid droplets in blood vessels is analyzed. Results：The theoretical model predicts the contour parameters of the lipid droplet adhesion morphology on the inner vascular wall, including the height and arc radius of the lipid droplet when the azimuth angle is 0 and pi/2 , the relative errors between it and the corresponding parameters obtained from the SE simulation are all less than 10% . For lipid droplets with the same dimensionless volume , the dimensionless adhesion area on the inner vascular wall decreases with the increase of the contact angle, and the blockage ratio κ increases with the increase of the contact angle. Under the condition of the same contact angle, the smaller the dimensionless volume , the smaller the dimensionless adhesion area and the blockage ratio κ. Conclusions：The established variable radius theoretical model can well describe the morphological characteristics of lipid droplets on the inner vascular wall. The law of influence of volume, contact angle and other parameters on the height, adhesion area and cross-sectional area of lipid droplets can be accurately and quickly obtained through the theoretical model. It shows that the larger the contact angle of the lipid droplet or the smaller the dimensionless volume, the lower the probability of embolism, which provides theoretical support for the analysis of related diseases.