The Phase Gradient Autofocus (PGA) algorithm is widely used to compensate for phase errors in Synthetic Aperture Radar (SAR) images. In the processing flow of the PGA algorithm, the two-step operation of selecting points and adding windows has a significant impact on algorithm performance. Traditional PGA algorithms often suffer from poor point selection quality or incorrect window width estimation, leading to poor focusing effect and slower convergence speed. This article proposes a strong point selection method based on the maximum energy signal-to-noise ratio criterion and an adaptive window width estimation method. Using the dimensions of energy and signal-to-noise ratio, ideal isolated strong scattering points are selected from image data, and two traditional windowing methods are combined and improved to adaptively estimate the window width, achieving improved algorithm stability and convergence speed. The simulation and experimental data processing results confirm the effectiveness of the algorithm proposed in this paper.