Abstract: To solve the lubricating model of the conical spindle distributing flow pair, two elements and two objects complex method was established by using the finite difference method, the resistance network method and the complex method. The research proved that the solution of model had the existence and uniqueness, and the method was proved to be feasible by example. The results of the example showed that the dimensionless pressure of the balance grooves kept constant and the clearance of the distributing flow plane had a nearly linear relationship with the working pressure. But the eccentricity of the conical spindle distributing flow pair was less than zero slightly, and the minimum value was -0.036. The study can provide a reference for analysis on lubricating characteristics and design of the conical spindle distributing flow pair.