The low-temperature heat capacities are studied for antiperovskite compounds AXM 3 (A = Al, Ga, Cu, Ag, Sn, X = C, N, M = Mn, Fe, Co). A large peak in (C − γT )/T 3 versus T is observed for each of a total of 18 compounds investigated, indicating an existence of low-energy phonon mode unexpected by Debye T 3 law. Such a peak is insensitive to the external magnetic field up to 80 kOe (1 Oe = 79.5775 A•m −1 ). For compounds with smaller lattice constant, the peak shifts towards higher temperatures with a reduction of peak height. This abnormal peak in (C − γT )/T 3 versus T of antiperovskite compound may result from the strongly dispersive acoustic branch due to the heavier A atoms and the optical-like mode from the dynamic rotation of XM 6 octahedron. Such a low-energy phonon mode may not contribute negatively to the normal thermal expansion in AXM 3 compounds, while it is usually concomitant with negative thermal expansion in open-structure material (e.g., ZrW 2 O 8 , ScF 3 ).