Surface functionalization can be used to tune the electronic and mechanical properties of MXenes. In this work, the structural stability, electronic and mechanical properties of monolayer M2X (M = Sc, Ti, V, Mn, Nb, Mo, Hf; X = C, N) with asymmetrical functionalization to form Janus MXenes were investigated by first-principles calculations, and the results were compared with the symmetrical functionalization. Results show that asymmetric functionalization has a consequential effect on the structure stability, electronic, elastic properties of the MXenes. For pristine monolayer M2X (M = Sc, Ti, V, Mn, Nb, Hf; X = C, N) systems, T-phase is energetically stable than H-phase, whereas the stable structures of monolayers Mo2C and Mo2N are H-phase. All the asymmetrically functionalized monolayers M2X (M = Sc, Ti, V, Mn, Mo, X = C, N) except for Sc2C are metallic materials. A metallic to semiconductor transition occurs in monolayer Sc2C upon surface functionalization. The mechanical stability of monolayer M2X can be improved by Janus surface functionalization.