Structural phase transitions in Sr3Rh4Sn13 and Sr3Ir4Sn13 are currently of interest due to the evidence of strong correlation with their superconductivity. To further obtain additional insight into the thermodynamic properties of the phase transitions, we have performed a study of single-crystalline Sr3Rh4Sn13 and Sr3Ir4Sn13 by means of the specific-heat and thermal-expansion measurements, mainly focusing on the features around the phase-transition temperature T∗≃138 and 147 K, respectively. In particular, the specific-heat data have been analyzed in the framework of the critical fluctuation model in addition to a mean-field contribution. Relatively large critical exponents were obtained for Sr3Ir4Sn13, suggesting a shorter coherence length associated with the phase transition. For each compound, an enhancement in the mean-field jump compared to the BCS value has been quantitatively identified, revealing the strong-coupling characteristics for the observed phase transitions. Furthermore, prominent changes in the coefficient of linear thermal expansion and bulk modulus across T∗ have been identified, providing new information about the structural phase transitions in the title compounds.