In order to provide data for the simulation of the astrophysical γ-process, the cross section measurement of the 124 Xe(p,γ) 125 Cs reaction is in progress at MTA Atomki using the activation technique. Precise information on the decay characteristics of the reaction products is of crucial importance for measurements carried out using this method. The half-lives of the produced 125 Cs and its daughter 125 Xe are published in previous works, but with large uncertainties and ambiguous values. To make these nuclear parameters more precise, the half-lives have been re-measured with high precision using γ-spectroscopy. The obtained new half-life values are t 1/2 = 44.35 ± 0.29 minutes for 125 Cs and t 1/2 = 16.87 ± 0.08 hours for 125 Xe.