In this paper a way of generating high efficiency and diffraction-limited dye laser beam is proposed. In this dye laser, Rhodamine 6G solution in alcohol is pumped by counterpropagating pumping beams in four-wave mixing. The 5820A laser radiation from second harmonic of the output of a Nd: laser system consisting of a Q-switched Nd: YA.G oscillator and Nd:glass amplifiers is used as the pumping source. The Rhodamine 6G solution is used as both the active medium of the dye laser and the nonlinear medium for four-wave mixing. The concentration of the Rhodamine 6G solution in alcohol is about 5 x 10~5 mole. Using pumping intensity of about 5xl06 W/cm2,the energy conversion efficiency of the pumping beam to dye laser beam is about 50%, and the beam divergence of the laser output is near diffraction-limited. The good quality of the output beam of the new type dye laser is analysed theoretically.