For the point cloud registration task, a significant challenge arises from non-overlapping points that consume extensive computational resources while negatively affecting registration accuracy. In this paper, we introduce a dynamic approach, widely utilized to improve network efficiency in computer vision tasks, to the point cloud registration task. We employ an iterative registration process on point cloud data multiple times to identify regions where matching points cluster, ultimately enabling us to remove noisy points. Specifically, we begin with deep global sampling to perform coarse global registration. Subsequently, we employ the proposed refined node proposal module to further narrow down the registration region and perform local registration. Furthermore, we utilize a spatial consistency-based classifier to evaluate the results of each registration stage. The model terminates once it reaches sufficient confidence, avoiding unnecessary computations. Extended experiments demonstrate that our model significantly reduces time consumption compared to other methods with similar results, achieving a speed improvement of over 41% on indoor dataset (3DMatch) and 33% on outdoor datasets (KITTI) while maintaining competitive registration recall requirements.