Elastic properties of cubic PrMg 3 with a non-Kramers 3 doublet ground state have been investigated with ultrasonic measurements. The temperature dependence of the elastic constant (C 11 −C 12 )/2 in PrMg 3 exhibits a characteristic minimum around 28 K and successively shows pronounced softening below 8 K down to 20 mK. The observation is well described by multipole susceptibility considering both an electric quadrupole O v and electric hexadecapole H v with 3g representation for the crystal field level 3 ground state and 4 triplet excited state located at 54 K for PrMg 3 . The contribution of the hexadecapole in the 3 -4 system to the multipole susceptibility should be emphasized to explain a common feature of the minimum typically observed in (C 11 −C 12 )/2 of Pr-based compounds PrPb 3 , PrAg 2 In, and the present PrMg 3 , as revealed by systematic ultrasonic measurements.