The temperature dependence of the elastic properties of polycrystalline manganites La0.5Ca0.5MnO3 has been studied by means of ultrasonic measurements and low-frequency internal friction apparatus. It was found that both the longitudinal modulus and the low-frequency shear modulus starts to soften obviously with a decrease in temperature from higher temperature to the charge-ordering transition temperature T-CO and stiffens dramatically just below T-CO. The abnormal temperature dependence of the elastic modulus around T-CO is fitted with the mean-field theory, which describes the coupling of Jahn-Teller ions to distortions of lattice of the cooperative Jahn-Teller system. The good fit of the theory to the data indicates that the Jahn-Teller effect is the dominant mechanism responsible for the charge-ordering state of the system. (C) 2010 Elsevier B.V. All rights reserved.