Context : Stellar kinematic groups are kinematical coherent groups of stars which might share a common origin . These groups spread through the Galaxy over time due to tidal effects caused by Galactic rotation and disc heating . However , the chemical information survives these processes . Aims : The information provided by the analysis of chemical elements can reveal the origin of these kinematic groups . Here we investigate the origin of the stars that belong to the Ursa Major ( UMa ) Moving Group ( MG ) . Methods : We present high-resolution spectroscopic observations obtained from three different spectrographs of kinematically selected FGK stars of the Ursa Major moving group . Stellar atmospheric parameters ( T _ { eff } , \log { g } , \xi , and [ Fe/H ] ) were determined using our own automatic code ( StePar ) which makes use of the sensitivity of iron equivalent widths ( EWs ) measured in the spectra . We critically compare the StePar results with other methods ( T _ { eff } values derived using the infrared flux method ( IRFM ) and \log { g } values based on Hipparcos parallaxes ) . We derived the chemical abundances of 20 elements , and their [ X/Fe ] ratios of all stars in the sample . We perform a differential abundance analysis with respect to a reference star of the UMa MG ( HD 115043 ) . We have also carried out a systematic comparison of the abundance pattern of the Ursa Major MG and the Hyades SC with the thin disc stellar abundances . Results : Our chemical tagging analysis indicates that the Ursa Major MG is less affected by field star contamination than other moving groups ( such as the Hyades SC ) . We find a roughly solar iron composition [ Fe/H ] = 0.03 \pm 0.07 dex for the finally selected stars , whereas the [ X/Fe ] ratios are roughly sub-solar except for super-solar Barium abundance . Conclusions : We conclude that 29 out of 44 ( i.e . 66 % ) candidate stars share a similar chemical composition . In addition , we find that the abundance pattern of the Ursa Major MG might be marginally different from that of the Hyades SC .