We present the combination of prospective motion correction and compressed sensing for 3D Time-of-Flight MRA. This enables fast TOF imaging in high isotropic resolution, while preserving image quality and diagnostic value even in the presence of motion. The method was evaluated in five healthy volunteers and image quality was compared to a conventional TOF MRA. Prospective motion compensation successfully enabled robust diagnostic image quality in the highly accelerated scan. The promising results as well as the full integration of the proposed method in a standard clinical scanner enable a comprehensive evaluation in patients in the near future.