In a fiber-coupled laser diode array(LDA) pumped Nd∶YAG crystal,using type-Ⅰ critical phase matching LBO crystal intracavity sum frequency mixing from 1064 nm and 1319 nm where 1064 nm wavelength is gotten from()~4F_(3/2)-()~4I_(11/2) transition and 1319 nm wavelength is gotten from()~4F_(3/2)-()~4I_(13/2) transition,a sum frequency mixing yellow laser at 589 nm is reported in the paper.By using a three mirror folded-cavity resonator,with injection pump power of 15 W,continuous wave TEM_(00) mode yellow laser at 589 nm of 860 mW is obtained,its optical-optical conversion efficiency is 5.7%,M~2 factor is less than 1.2.The output power has low noise,and the power fluctuation in 4 h is better than ±3.4%.Experimental results show that the intracavity sum-frequency mixing is an effective method for 589 nm laser and it can be applied to other transition wavelengths in Nd∶YAG or other laser crystals to obtain more all-solid-state lasers with different wavelength.