The symbolic function is used to generate the 3-scroll chaotic attractors,and the largest Lyapunov exponent,power spectrum,Poincare map are given. Based on Lyapunov stability theory and method of unilateral synchronization,the sufficient conditions for selfsynchronization of the 3-scroll chaotic attractors are derived. Finally,the simulation results of generation and synchronization of 3-scroll chaotic attractors are also given.