Abstract: TOPAZ-Ⅱis a small-scale reactor which has compact design and high heterogeneity, and all these features make the deterministic codes unsuitable for this type of reactor. The burn-up calculation of TOPAZ-Ⅱ was carried out using Monte Carlo code MVP-BURN which was developed by Japan Atomic Energy Agency (JAEA). And the detailed results were presented in this paper after a comprehensive calculation based on an applicable calculation scheme. The burn-up calculation scheme proposed in this paper can be used as a reference for the burn-up calculation of other similar reactors as well.