Laser diode (LD) pumped Q-switched solid-state lasers (SSLs) can achieve high repetition rates and high peak power. With the development of lidar and laser machining, diode-pumped SSLs (DPSSLs) with higher repetition rates are required. In the LD-end-pumped acousto-optically (A-O) Q-switched solid state lasers, Nd:GdVO4, which has excellent physical and laser properties, is able to obtain a laser output of short pulse width even at very high repetition rates. The major factors that have influence on pulse energy and pulse width are analyzed, pulse width, average output power and peak power as a function of the repetition rates have been studied. Double Nd:GdVO4 crystals laser end-pumped by double LD is reported, and A-O Q-switched laser of 1063 nm with high repetition rate and short width is achieved. At the total pump power of 43 W, pulse width of 10.2 ns, pulse energy of 0.95 mJ and peak power of 93.1 kW are obtained at the repetition rate of 10 kHz; 28.1 ns, 0.10 mJ and 3.6 kW are produced respectively at 100 kHz.