<p>Currently, the flexible spatial vibration of manipulators has a significant impact on their applications, particularly in terms of precise positioning. This study focuses on the suppression of flexible spatial vibrations in manipulators. A new method combining dynamic matrix vibration suppression and dual time scale suppression is proposed. The new method can analyze and suppress vibrations in the servo system of robot arms, while the dual time scale suppression method is used to suppress vibrations in robot arms. According to the research results, after adding dynamic matrix vibration suppression, the vibration amplitude in the robot arm decreased. Compared to the original system, the new method reduced vibration changes by 0.03&#xa0;rad/min. The manipulator based on the combined suppression method had an amplitude 17.63 dB lower than the initial system. The new method effectively reduces vibration in flexible spatial manipulators, yielding good results in improving manipulator performance and efficiency. This provides valuable guidance for flexible spatial vibration control and enhancing manipulator precision.</p>