Using the coupled cluster singles and doubles including connected triples model and the augmented correlation consistent polarized valence double zeta basis set extended with a set of 3s3p2d1f1g midbond functions, ab initio helium-, neon-, and argon-cyclopropane ground state intermolecular potential energies are evaluated and fitted to an analytic function including up to four-body interactions. These are the first ab initio potential energy surfaces available for these complexes and are characterized by an absolute minimum of -73.3 cm(-1) at a distance on the cyclopropane C-3-axis of 3.291 Angstrom, -125.3 cm(-1) at 3.435 Angstrom, and -301.1 cm(-1) at 3.696 Angstrom for helium, neon, and argon, respectively. The bound van der Waals states are calculated. Two types of tunneling motion cause splittings of these levels: a C-3 tunneling between the three equivalent local minima placed in the cyclopropane plane, and a C-2 tunneling motion of the rare gas atom between the global minima above and below the cyclopropane plane.