In the field application of ground penetrating radar, multiple waves are a common interference wave, which will affect the authenticity and reliability of radar data and bring difficulties to target interpretation. The Radon transform is widely used in the field of seismic processing for multiple suppression, but it is still not much studied and applied in the field of ground penetrating radar. This paper analyzes and expounds the Radon transform theory for the reflected wave of hyperbolic ground penetrating radar. In the case where the position of the weak target echo and the multiple wave of the strong target are highly overlapping, and the multiple wave intensity is close to the strength of the weak target echo, analyze the difference between the position and energy intensity of weak targets and multiples in the Radon domain, recover the multiple energy by selecting the filter window and performing polynomial fitting on it in the Radon domain, and then recover multiple times in the spacetime domain through Radon forward modeling. Then, the multiple waves are subtracted from the original radar data to suppress the multiple waves, and the radar data without false interference is obtained. The experimental results show that a better multiple suppression effect is achieved while retaining the echo strength of weak targets.