Abstract: There have some weak points in typical curve model and section function model for subsidence prediction under rectangular goaf due to minging gentle-inclined coal seam. Study on the actual observation datas find the subsidence basin have the character of ellipse on plane section, join ellipse with power function the three dimensional model, main section plane prediction model and incline main section prediction model have been made.One example shows that these models agree well with the actual measurement data and these model can generally use under the same situation. These models can be show with 3D graph by MATLAB.