In this paper, the system of brain-computer interface driving neural prosthesis hand is designed using EEG signal as the control signal source. First, a whole design scheme of the system of BCI driving neural prosthesis hand is constructed and the method of EEG detection and recognition is introduced. Then, on the basis of prosthesis hand wildly used by amputees, a three-degree of freedom prosthesis hand is chosen as the control object through rebuilt according to system requirement. The serial communication channel is constructed and the recognition result of hand action is sent to the prosthesis hand controller through serial signal protocol. A prosthesis hand controller is designed using single-chip computer as its core, and the driving method of start-stop and steering of prosthesis hand motor is studied. At last, the purpose of the control of prosthesis hand is achieved by EEG recognition result from hand action.