We image the shallow structure across the East Bench segment of the Wasatch fault system in Salt Lake City using ambient noise recorded by a month‐long temporary linear seismic array of 32 stations. We first extract Rayleigh‐wave signals between 0.4 and 1.1 s period using noise cross correlation. We then apply double beamforming to enhance coherent cross‐correlation signals and at the same time measure frequency‐dependent phase velocities across the array. For each location, based on available dispersion measurements, we perform an uncertainty‐weighted least‐squares inversion to obtain a 1D model from the surface to 400 m depth. We put all piece‐wise continuous 1D models together to construct the final 2D model. The model reveals high velocities to the east of the Pleistocene Lake Bonneville shoreline reflecting thinner sediments and low velocities particularly in the top 200 m to the west corresponding to the Salt Lake basin sediments. In addition, there is an low‐velocity zone that narrows with depth adjacent to the surface trace of the East Bench fault, which we interpret as a fault‐related damage zone. The damage zone is asymmetric, wider on the hanging wall (western) side and with greater velocity reduction. These results provide important constraints on normal‐fault earthquake mechanics, Wasatch fault earthquake behavior, and urban seismic hazard in Salt Lake City.