A state-space coprime factorization approach to the H-infinity controllers design for state-delayed systems is developed. The coprime factors that are generated by the present factorization possess the same delayed state as that of the original system. This property, together with the well-known Youla parameterization and the chain-scattering matrix description, provides a relatively simple method to obtain a family of the internally stabilizing H-infinity output feedback controllers. A numerical example is given to demonstrate the validity and the applicability of the proposed approach.