We introduce Neural Radiance and Gaze Fields (NeRGs) as a novel approach for representing visual attention patterns in 3D scenes. Our system renders a 2D view of a 3D scene with a pre-trained Neural Radiance Field (NeRF) and visualizes the gaze field for arbitrary observer positions, which may be decoupled from the render camera perspective. We achieve this by augmenting a standard NeRF with an additional neural network that models the gaze probability distribution. The output of a NeRG is a rendered image of the scene viewed from the camera perspective and a pixel-wise salience map representing conditional probability that an observer fixates on a given surface within the 3D scene as visible in the rendered image. Much like how NeRFs perform novel view synthesis, NeRGs enable the reconstruction of gaze patterns from arbitrary perspectives within complex 3D scenes. To ensure consistent gaze reconstructions, we constrain gaze prediction on the 3D structure of the scene and model gaze occlusion due to intervening surfaces when the observer's viewpoint is decoupled from the rendering camera. For training, we leverage ground truth head pose data from skeleton tracking data or predictions from 2D salience models. We demonstrate the effectiveness of NeRGs in a real-world convenience store setting, where head pose tracking data is available.