The low-temperature specific heat C(T,H) of a new superconductor MgCNi 3 has been measured in detail. ∆C/γ n T c =1.97 is estimated from the anomaly at T c . At low temperatures, the electronic contribution in the superconducting state follows C es /γ n T c ≈7.96exp(-1.46T c /T).The magnetic field dependence of γ(H) is found to be linear with respect to H. T c estimated from the McMillan formula agrees well with the observed value. All the specific heat data appear to be consistent with each other within the moderate-coupling BCS context. It is amazing that such a superconductor unstable to ferromagnetism behaves so conventionally.The Debye temperature Θ D =287 K and the normal state γ n =33.6 mJ/mol K 2 are determined for the present sample.