Accurate modeling of anion abundances in the interstellar and circumstellar media requires calculations of collisional data with the most abundant species that are usually He atoms and H2 molecules. In this paper, we focus on the smaller cyclic molecular anion, c-C3H-, an astrophysical candidate following the detection of larger CnH- carbon chains. From a new three-dimensional Potential Energy Surface, the rotational (de-)excitation of the c-C3H-(X1A1) anion by collision with He is investigated. The surface is obtained in the supermolecular approach at the CCSD(T)-F12/aug-cc-pVTZ level of theory. Fully-quantum close-coupling calculations of inelastic integral cross sections are done on a grid of collisional energies large enough to ensure the convergence of the state-to-state rate coefficients for the 34 first rotational levels up to = 77,0 of c-C3H- and temperatures ranging from 5 to 100 K. For this collisional system, rate coefficients exhibit a strong dominance in favor of the 21,2 ® l1,1 downward transition. This transition was previously used for the detection of the cyclic parent c-C3H. The c-C3H--He rate coefficients are one order of magnitude (~10−11 cm3 s−1) smaller than those of the detected anions CnH- (as C2H-, C4H-, C6H-) in collision with H2. The critical densities of H2 were also estimated, and a discussion of the validity of the LTE conditions is carried out. This work represents a contribution to understanding and modeling the abundances and chemistry of hydrocarbon radicals, CnH, in astrophysical media.