In order to provide data for the simulation of the astrophysical gamma-process, the cross section measurement of the (124)xe(p,gamma)Cs-125 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 Cs-125 and its daughter Xe-125 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 gamma-spectroscopy. The obtained new half-life values are t(1/2) = 44.35 +/- 0.29 minutes for Cs-125 and t(1/2) = 16.87 +/- 0.08 hours for Xe-125. (C) 2019 Elsevier B.V. All rights reserved.