A core of a boiling water reactor as a burner type core of the boiling water reactor having a ratio of 3 or more of number of fuel assemblies loaded in the core to number of control rods installed in the nuclear reactor and using an oxide of low enriched uranium having a mean enrichment of the fuel assemblies of 3 wt % to 8 wt % or a mixed oxide having a mean fissile plutonium enrichment of the fuel assemblies of 2 wt % to less than 7 wt %,wherein a mean weight of at least one of uranium and plutonium included in a unit volume of a core region is 2.25 to 3.4 kg/l when load of the fuel assemblies having a burnup of 0 into the core is finished, anda mean thickness of the channel box of the fuel assemblies is 2.10 to 3.55 mm.