Silicon single-photon avalanche diodes (SPADs) are core devices for single-photon detection in the visible and the near-infrared wavelength range and are widely used in many fields such as astronomy, biology, lidar, quantum optics, and quantum information. Due to limitations in their structural design and fabrication, however, the key parameters of detection efficiency and timing jitter cannot be optimized simultaneously. Here, we propose a nanostructured silicon SPAD that achieves high detection efficiency with excellent timing jitter over a broad spectral range. Our optical and electrical simulations show significant performance enhancement compared to conventional silicon SPAD devices. This nanostructured device can be easily fabricated and is thus well suited for practical applications.