Using SRG/eROSITA X-ray sky survey data and the optical catalog of 2209 Pleiades cluster members constructed from Gaia data, we have found 850 X-ray sources associated with cluster stars. More than 650 of them have been detected in X-rays for the first time. At the distance of the Pleiades the nominal sensitivity of eROSITA in this sky region corresponds to a 0.3-2.3keV luminosity L_X_~1.6x10^28^erg/s. The eROSITA sources associated with the Pleiades radiate with a total luminosity L_X,total_~1.3x10^22^erg/s, which exceeds the X-ray luminosity of the quiet Sun by a million times. A strong, more than a factor of 10, X-ray variability has been recorded for 27 sources. Most of them are known as eruptive optical variable dM stars. R_X_=log(L_X_/L_bol_) for Pleiades stars increases with decreasing effective stellar temperature from R_X_~-5 to R_X_~-2 . The R_X_ distribution of stars is bimodal. The left peak at R_X_~-.43 is formed by FGK stars, while the right peak at R_X_~-3.1 is mostly populated by M stars. The dependence of R_X_ on the Rossby number R_o_ is different for different spectral types. At small Rossby numbers for K and M stars R_X_~-3 and depends weakly on R_o_. At R_o_>~0.25 a rapid decrease in R_X_ is observed for K stars, while there are no M stars with large Rossby numbers in our sample. Most of the F and G stars lie in the range of lower values, R_X_~-4.5, but the size of our sample is not enough to characterize in more detail the R_X_-R_o_ relation for them.