The provided dataset is a HOmogeneous catalog of Italian instRUmental Seismicity updated in near-real time. The magnitudes of all events are homogeneously revalued so that to be consistent with Mw standard estimates made by the Global CMT project. For the time interval from 1960 to 15 April 2005 it is obtained by merging catalogs and online resources available for the Italian area and homogenizing all magnitudes to Mw according to empirical relationships computed using the Chi Square Regression method which properly consider the uncertainties of both variables. From 16 April 2005 to present, an automatic procedure periodically downloads the data of the on-line bulletin of the Istituto Nazionale di Geofisica e Vulcanologia (INGV) and of online Moment Tensor catalogs from respective websites, merges the different sources and applies traditional magnitude conversions to Mw. The resulting dataset from 1960 to present is provided in two versions: HORUS_Ita_Catalog.txt where a random second decimal digit is added to ML and Md of the INGV bulletin (ISIDe) before computing Mw proxies, and HORUS_Ita_Catalog_o.txt where the original ML and Md are used to compute Mw proxies (Lolli et al., 2020).