Robotic machining has developed rapidly and has great potential for manufacturing large parts with complex surfaces. However, the machining quality and efficiency are severely limited by the low stiffness of the robots, which causes destructive chatter during manufacturing. To suppress this phenomenon, offline stability prediction must be performed before the actual robotic milling. In this study, a high-frequency stability prediction algorithm for robotic milling was developed by introducing an interactive method. A lightweight structural dynamic model of a robot was developed based on specially designed decoupling criteria, and an interpolation algorithm that determines the trajectory of the tool nose was designed to calculate the milling force. By combining the two models, an interactive coupling algorithm was proposed to forecast the vibration in robotic milling. The predicted results can contribute to generating the stability lobe, thereby verifying the stability distribution and spectral characteristics of both the simulated and measured signals. The new algorithm realizes static data communication and dynamic state updating between the dynamic and cutting force models at high frequencies, thereby balancing the simulation speed and prediction quality.