We report the first measured differential cross sections for rotationally inelastic collisions between ND3 and Ne, obtained using velocity-mapped ion imaging. In these experiments, ND3 molecules initially in the J = 0, K = 0 and J = 1, K = 1 quantum states collide with Ne atoms at a center-of-mass collision energy of 65 meV, leading to rotational excitation of ND3. Differential cross sections are then determined from images of the rotationally excited scattered molecules using an iterative extraction method. These measurements complement and compare well with previous measurements of differential cross sections for the ammonia-rare gas system (Meyer, H. J. Chem. Phys. 1994, 101, 6697.; Meyer, H. J. Phys. Chem. 1995, 99, 1101.) and are also relevant to the production of cold ND3 molecules by crossed-beam scattering (Kay, J. J.; van de Meerakker, S. Y. T.; Strecker, K. E.; Chandler, D. W. Faraday Discuss. 2009, DOI: 10.1039/B819256C).