The invention provides a ball-end milling cutter chatter stability domain lobe graph modeling method based on a precise integration in five-shaft numerical control machine tool machining, and belongs to the technical field of advanced manufacturing. The method comprises the steps of 1, establishing a ball-end milling cutter-workpiece kinetic equation; 2, solving dynamic cutting forces Ftx(t) and Fty(t) on ball-end milling cutter teeth; 3; conducting semi-analytic modeling on a contact area of a ball-end milling cutter and a workpiece in the five-shaft numerical control machine tool plane machining process; 4, using a precise integration method to solve a cutter-workpiece kinetic equation time-domain numerical value; 5, constructing a lobe graph. In the ball-end milling cutter chatter stability domain lobe graph modeling method based on the precise integration in five-shaft numerical control machine tool machining, the ball-end milling cutter is used as arc motion in a single-tooth cutting cycle, the precise integration method is utilized to conduct high-precision time-domain numerical value solving on a cutting system second order kinetic equation, the disadvantage of a traditional numerical value solving method that the calculation precision, the calculation efficiency and the stability cannot be considered simultaneously is overcome, and the ball-end milling cutter chatter stability time-domain lobe graph when a front rake angle and a back rake angle exist in the five-shaft numerical control machine tool machining process can be constructed.