The continuous-wave output of the frequency-shifted feedback (FSF) laser with Nd∶YVO4 crystal was analyzed, with laser rate equations by dividing the gain spectrum of laser crystal into many bands in unit of round-trip frequency shift and frequency-shifting. The output spectrum width and spectrum shift with varied pumping power level, diffraction efficiency of acousto-optical modulator (AOM), round-trip frequency shift and gain spectrum width of laser crystal were given in details. Based on a resonator structure of end-pumping and frequency-shifter of AOM, an all solid-state FSF laser with Nd∶YVO4 crystal was constructed. The experimental results were in consistent with the simulated ones, and output power higher than 1 W is also obtained. The result proves the spectrum-width stability of the FSF laser at variant pumping levels.