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The principal objective of this study is to formulate an effective optimal fuel management strategy for the RSG-GAS research reactor for equilibrium core. The core management study has been performed by utilizing four basic types of information calculated for the RSG-GAS reactor such as criticality, power peaking, neutron flux and burn-up calculations. This paper presents the results of the burn-up calculations for RSG-GAS LEU fuel elements. The fuel element burn-up using in-core fuel management of operation was calculated using the BATAN-FUEL code. The calculation is performed in one-dimensional radial geometry in WIMSD-5B code using ENDFBVII.0 nuclear data file. The criticality, neutron flux and burn-up calculations were using the Batan-2DIFF code and power peaking factor calculation was using Batan-3DIFF code. The results with this calculations show very good agreement with the experimental data. Reshuffling at 15 MWt step provides the highest core lifetime of the reactor, which is 630 MWD. Besides, the study gives valuable insight into the behaviour of the reactor and will ensure better utilization and operation of the RSG-GAS reactor in future.