A laser diode (LD) continuous-wave (CW) end-pumped high repetition rate electro-optic (EO) Q-switched Nd:YVO4 laser was experimentally and theoretically studied. In experiments, using LGS(La3Ga5SiO14) single crystal as an EO Q-switch, with 28 W pump power, an output pulse train with 70 kW peak power, about 7 ns pulse duration and more than 5 W average power was obtained at 104 Hz repetition rate. And the Q-switched output performance at different repetition rate was compared. In theory, by solving the amendatory actively Q-switched rate equations, taking amplified spontaneous emission (ASE) into account, a series of results consistent with experiments were achieved. In the last, the thermal lens effect of end-pumped solid state laser was simulated by LasCad software and measured through experiments, the calculation results were almost identical to the experimental values.