Title: Search for eta_b Abstract: The ground state of bottomonium state, eta_b(1S) has been discovered by BaBar recently. It is a spin-singlet pseudoscalar partner of Y(1S). The measured hyperfine mass splitting between the triplet and singlet states can then be compared to predictions of various potential models. I describe how CLEO has searched for it and problems we have faced in the analysis. I also discuss what can be done by future experiments.