We present the rest-frame ultraviolet (UV) galaxy luminosity function (LF) and luminosity density (LD) measurements in the far-UV (1500 {AA}) wavelength, in the redshift range z = 0.6-1.2. The UV LF is derived using XMM-Newton Optical Monitor (XMM-OM), UV (1600-4000 {AA}) observations of the Chandra Deep Field South, over an area of 396 arcmin^2^. Using the deep UV imaging of the CDFS, we identified > 2500 galaxies in our sample with UVW1AB <= 24.5 mag. This sample, along with various other catalogues containing redshift information, is used to calculate the binned representation of the galaxy UV LF in the two redshift bins 0.6 <= z < 0.8 and 0.8 <= z < 1.2, having a wide range of 1500 {AA} rest-frame UV magnitudes ({Delta}M_1500_ ~= 3), reaching ~= 1-1.5 magnitudes fainter than previous studies at similar redshifts. The binned LF is described well by the Schechter function form. Using maximum-likelihood, the Schechter function is fitted to the unbinned data to obtain the best-fitting values of the the UV galaxy LF parameters. We find that characteristic magnitude M* brightens by 0.8 mag from z = 0.7 to z = 1, implying an increase in the star formation activity between these redshifts, as reported by past studies. Our estimate of the faint- end slope -1.10^{+0.19}^_{-0.18}_ is on the shallower side compared with previous studies at z = 0.7, whereas a value of -1.56^{+0.19}^_{-0.18}_ estimated for z = 1.0, agrees with previous results given the uncertainties.