Creating an image focal stack requires multiple shots, which captures images at different depths within the same scene. Such methods are not suitable for scenes undergoing continuous changes. Achieving an all-in-focus image from a single shot poses significant challenges, due to the highly ill-posed nature of rectifying defocus and deblurring from a single image. In this paper, to restore an all-in-focus image, we introduce the neuromorphic focal stack, which is defined as neuromorphic signal streams captured by an event/ a spike camera during a continuous focal sweep, aiming to restore an all-in-focus image. Given an RGB image focused at any distance, we harness the high temporal resolution of neuromorphic signal streams. From neuromorphic signal streams, we automatically select refocusing timestamps and reconstruct corresponding refocused images to form a focal stack. Guided by the neuromorphic signal around the selected timestamps, we can merge the focal stack using proper weights and restore a sharp all-in-focus image. We test our method on two distinct neuromorphic cameras. Experimental results from both synthetic and real datasets demonstrate a marked improvement over existing state-of-the-art methods.