We report the repetitively Q-switched laser operation of the Yb-doped calcium niobium gallium gaet disordered gaet crystal,achieved with an acousto-optic modulator in a compact plano-concave resonator that is endpumped by a 935-nm diode laser.An average output power of 1.96 W is produced at pulse repetition rate of 50kHz at emission wavelengths around 1035nm,with a slope efficiency of 16％.The highest pulse energy of 269μJ is generated at pulse repetition rate of 1 kHz,with pulse width 12.1 ns and peak power 20.53kW.