In order to solve the problem of in-orbit optical load ground test vibration source simulation, a multi-dimensional micro-vibration simulation platform based on a parallel mechanism was designed, which can effectively reproduce the characteristics of spatial micro-vibration distribution frequencies and small vibration levels. Firstly, the virtual frequency principle and the Newton-Eulerian equation were used to derive the analytical formula for the natural frequency of the system. This was combined with the design index to optimize the configuration, and the structural design was configured based on this, so that the natural frequency satisfied the analog bandwidth of 5-250 Hz. Finally, a control method based on transfer function was proposed, which verified its correctness and solved the working ability of the platform. The fundamental frequency corresponding to the sixth stage of the platform was observed to be 3.4 Hz, and the fundamental frequency corresponding to the seventh order was observed to be 356 Hz, which satisfied the bandwidth requirement. The maximum error between the output and the target value obtained via the transfer function control is 1.54%, which indicates that the method is suitable for platform control. The maximum translational acceleration of the upper platform is observed to be 399.3 mg, and the maximum angular disturbance is detected to be 1 979.3 μrad, which meets the requirements of the index. The platform exhibits large analog bandwidth, high load capacity, and small vibration levels. It can be used as space micro-vibration ground test vibration source simulation equipment.