Musicians' ability has an important role in music performance. What does it happen in computer music playing? In this paper a connessionist approach to the problem of computer music performance is proposed. A hybrid system for computer music automatic performance is showed. In this system, two sets of symbolic and sub-symbolic rules act in co-operation. We propose also some neural nets' models, which learn the performing style of a professional pianist. Some models and applications of neural nets (NNs), that we built, are discussed