The single-frequency Nd:YVO4 laser with a CW laser-diode single-end-pumped is described. Under stablecavity condition basing on heat lens,the relation of beam radius versus pump average radius in the crystal center is analyzed in a simple bow-tie ring cavity configuration. When the incident pump power is 30.3 W,a 1064 nm single-frequency laser,with its output power of 10.48 W(line-polarization power 10.02 W),is obtained. the optical-optical efficiency is about 34.6% with beam quality is M2X=1.18 and M2Y=1.19. The fluctuation of laser frequency is about 70 MHz in a minute. The fluctuation of power is about 0.5% for four hours.