This paper presents the concept, control strategy, and simulations of suppressing the thruster-firing-induced vibration of satellites. First, a satellite vibration reduction concept of utilizing the UHM multifunctional platform is discussed, and the structural configurations of the platform as well as the combination of the platform and a satellite are described. A satellite-like frame with the platform is analyzed, and the predominant modes of the frame are determined. A MIMO adaptive control scheme is then developed to suppress the frame vibration, and a convergence factor vector concept is introduced to ease the multi-channel convergence rate control. This controller is adjusted based on the vibration information of the frame and drives the platform to isolate the vibration transmission from the firing thruster to the satellite structure. The entire system has ten actuators: four piezoelectric stack actuators and six piezoelectric patch actuators. Eleven vibration components of the frame and platform are controlled. Nine components are in the frame for the satellite vibration suppression, and two are in the top-device plate of the platform for the thruster vibration suppression. Finally, simulations are performed to suppress the vibration of the frame for three platform positions to simulate the misalignment correction of the satellite thrust vector. The results demonstrate that the entire frame vibration at its dominant frequency decreases to 7-10% of its uncontrolled value in the three platform positions, and the thruster vibration decreases to 7.5% of its uncontrolled value.