Abstract: We considered the properties of zeros of analytic automorphisms on the unit disk. It is proved by calculation that the Blaschke product generated by the zeros of hyperbolic and parabolic analytic automorphism after iteration has the properties of interpolation and one-component, and the zeros of elliptic analytic automorphism after iteration does not tend to the boundary, so it can not generate Blaschke product.

Key words: analytic automorphism, Blaschke product, interpolation, one-component