Efficient representation of articulated objects such as human bodies is an important problem in computer vision and graphics. To efficiently simulate deformation, existing approaches represent objects as meshes and deform them using skinning techniques. This paper introduces neural articulated shape approximation (NASA), a framework that enables efficient representation of articulated deformable objects using neural indicator functions parameterized by pose. In contrast to classic approaches, NASA avoids the need to convert between different representations. For occupancy testing, NASA circumvents the complexity of meshes and mitigates the issue of water-tightness. In comparison with regular grids and octrees, our approach provides high resolution without high memory use.