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The thermodynamic stabilities of Cr carbides have been reviewed in the Cr-C, Fe-Cr-C, Ni-Cr-C, Fe-Cr-V-C and Fe-Cr-W-C systems considering the relative stabilities between Cr carbides and V carbide or W carbides. A new description of the Cr carbides was made, which can give satisfactory agreement between calculation and experimental data both in the Ni-Cr-C system and the Fe-Cr-V-C system. Taking into consideration the Ni-Cr-C and Fe-Cr-V-C systems, and the relative stabilities between Cr carbides themselves and between Cr carbides and V or W carbide, reassessments were made of the Ni-C, Ni-Cr, Cr-C, Ni-Cr-C and Fe-Cr-C systems. Comparisons between calculation and experimental data are presented for each system reassessed and also for the Fe-Cr-V-C and Fe-Cr-W-C quaternary systems.