The four level rate equations of intracavity frequency doubling of 1079.5 nm and 1341.4 nm dual-wavelength Nd:YAlO3 laser are built and solved numerically. The results show that the continual wave (CW) dual-wavelength frequency doubled laser can be realized and CW red and green lasers can be achieved simultaneously. Two methods for achieving the balanced output of red and green lasers are compared The method through changing the geometry factor to get the balanced output of red and green lasers is more effective than that through the adding of the additional loss.