We present a novel approach, Super Ray, for efficiently updating point clouds to occupancy map representations such as grids and octrees. In this paper, we define a super ray for points as a representative ray to them with an associated frustum. A super ray is constructed in a way that updating those points has the same set of cells accessed during the map update process. As a result, we can perform the update process with a super ray in a single traversal on the map, resulting in performance improvement without compromising any accuracy of the map. For constructing super rays efficiently, we propose mapping lines for handling 2-D and 3-D cases from an observation that edges or grid points branch out the access pattern of updating the map. Our method is general enough to be applied for variety of occupancy map structures based on axis-aligned space subdivisions such as grid and octrees. We test our method into indoor and outdoor benchmarks, and achieve 2.5 times on average (up to 3.5 times) performance improvement over the state-of-the-art update method for OctoMap and grid maps.