Based on the physical phenomenon of the fiber reinforced polymer material after the erosion of the liquid medium, the erosion law of the liquid medium on the FRP is analyzed. And considering the anisotropy of the FRP material, a FRP point source erosion depth model based on Fick’s law is proposed. Taking the glass fiber reinforced polymer (GFRP) in alkali solution as an example, we carried out GFRP corrosion and aging test in alkaline solution, and the erosion depth of GFRP specimens was measured at 30, 90, 180, 360 and 720 days, respectively. At the same time, the water absorption rate of GFRP was used to calculate the erosion diffusion coefficient of solution medium. Through the comparison between the experimental value of erosion depth and the calculated value of erosion depth model, the error between the experimental data and the calculated data is within 10%, and the overall regularity is consistent. It shows that the erosion depth model of liquid medium proposed in this paper is reasonable and has high accuracy.