Recently, narrow linewidth fiber lasers are widely applied in coherent detection and wavelength beam combining. In high-power linearly polarized narrow linewidth fiber lasers, the effect of mode instability (TMI) is one of the main factors limiting its power increase. In this paper, the influence of TMI effect on the output power of high-power linearly polarized narrow-linewidth fiber laser is analyzed, and the suppression method of TMI effect is proposed. Long-wave pumping technologies are used in this article. A single frequency laser with an output power of 100mW is used as the seed source. And the phase modulator broadens the linewidth of the seed source to 23GHz. After three stage amplification, the linewidth of 23GHz, power of 2.2kW, and center wavelength of 1064nm are finally realized. Linearly polarized narrow linewidth fiber laser output with extinction ratio of 98% is achieved. Beam quality is M 2 x=1.2 and M 2 y=1.21. The influence of the pump wavelength on the TMI effect is analyzed. Due to the small core diameter of the fiber (20μm), a high absorption coefficient of the gain fiber for the pump light (1.8dB/m@976nm), the core temperature is high. And the heat introduced by the pump photo quantum defect, causes the refractive index of the fiber core to change. Finally, the TMI effect occurs at lower power. When the pump wavelength is shifted to the long wavelength, the quantum defect of the pump light and the pump absorption coefficient are both reduced. The heat distribution on the entire length of the fiber or on the unit length is reduced. The TMI threshold is increased. And the output power of the linearly polarized narrow linewidth fiber laser is improved.