Using data from the all-sky X-ray survey with the eROSITA telescope onboard the SRG orbital observatory and the optical catalog of Hyades cluster members constructed from Gaia data (2023A&A...678A..75Z), we have investigated the X-ray emission from cluster stars. Of the 395 cluster members located in the eastern Galactic part of the sky, eROSITA detects X-ray emission from 290 stars, 171 of which have been found for the first time in X-rays. At the Hyades distance (~47pc) the median eROSITA sensitivity in this sky region corresponds to a 0.3-2.3keV luminosity L_X_~2.6x10^27^erg/s, allowing 100% of the stars with spectral types from F0 to K5 to be detected within the Hyades tidal radius. We have also investigated objects in the Hyades tidal tail (2019A&A...621L...3M, 2019A&A...621L...2R), where X-ray emission was recorded from 114 of the 281 known tidal tail members, 59 of which have been found in X-rays for the first time.