The results of a search for two neutrino mode of double K-capture of 124Xe using a large copper low-background proportional counter are presented. Data collected during 3220 hours of measurements with 58.6 g of 124Xe provides us to a new limit on the half-life of 124Xe regarding 2K-capture at the level: T1/2 ≥ 2.0 × 1021 years at a 90% confidence level.