****************************************************** PR # 41050 ASCA has opened a new window, spectroscopy of Galactic globular clusters. From AO2 observations of nearby King-Model (KM) clusters, Omega Centauri and M22, we obtained spectra of dim X-ray sources associated with and without the clusters for the first time. They allow us to identify the dim X-ray sources as CVs and normal stars. As a nest step, we propose observations of nearby Post-Core-Collapsed (PCC) clusters, NGC 6139 and NGC 6544. These observations will provide spectra of known and unkown X-ray sources. Together with the previous results, they are useful pieces of information on the cluster evolution from KM clusters to PCC ones. ******************************************************