A full relativistic multi-configuration Dirac-Fock theory with quantum electrodynamical (QED) effect and Breit corrections is used to calculate the magnetic quadrupole M2 2s21S0—2s2p3P2(Z=10—103) transition energy level, transition probabilities and oscillator strengths for Be-like ions for the first time. The results with Breit and QED corrections included are in good agreements with current experimental data and other theoretical values. The results show that the magnetic quadrupole transition probabilities of highly ionized atoms are comparable with those of neutral atomic allowed transitions and cannot be ignored in the laser plasma of high temperatures in ICF and MCF fusions. The effect of the magnetic quadrupole transition of highly ionsized atoms should be considered in the calculation of dielectronic recombination process, opacity, free path and so on.