We study the self-organization of phase synchronization in coupled map scale-free networks with chaotic logistic map at each node and find that a variety of ordered spatiotemporal pattes emerge spontaneously in a regime of coupling strength.These ordered behaviours will change with the increase of the average links and are robust to both the system size and parameter mismatch.A heuristic theory is given to explain the mechanism of serf-organization and to figure out the regime of coupling for the ordered spatiotemporal pattes.