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Omega Centauri is the most well studied Globular Cluster because of itsnumerous puzzling features. Intensive spectroscopic follow-up observingcampaigns targeting stars at different positions on the color-magnitude diagrampromises to clarify some of these peculiarities. To able to target clustermembers reliably during spectroscopic surveys and both spatial and radialdistributions in the cluster outskirts without including field stars, a highquality proper-motion catalog of omega Cen and membership probabilitydetermination are required. The only available wide field proper-motion catalogof omega Cen is derived from photographic plates, and only for stars brighterthan B~16. Using ESO archive data, we create a new, CCD-based, proper-motioncatalog for this cluster, extending to B~20. We used the high precisionastrometric software developed specifically for data acquired by WFI@2.2mtelescope and presented in the first paper of this series. We achieved a goodcluster-field separation with a temporal base-line of only four years. Wecorrected our photometry for sky-concentration effects. We provide calibratedphotometry for UBVRI wide-band data plus narrow-band filter data centered onH_alpha for almost 360 000 stars. We can confirm that the omega Cen metal-poorand the metal-rich components have the same proper motion, and demonstrate thatthe metal-intermediate component in addition exhibits the same mean motion asthe other RGB stars. We provided membership probability determination forpublished omega Cen variable star catalogs. Our catalog extends theproper-motion measurements to fainter than the cluster turn-off luminosity, andcovers a wide area (~33'x33') around the center of omega Cen. Our catalog isnow electronically available to the astronomical community.

Ground-based CCD astrometry with wide field imagers. III. WFI@2.2m proper-motion catalog of the globular cluster omega Centauri