First　principles　was　carried　out　studying　the　properties　of　(Ti,　Nb)C　compounds　based　on　density　functional　theory.　The　integration　of　mechanical　behavior,　electronic　structures,　and　thermodynamic　properties　can　be　optimized　by　mediating　the　concentration　of　the　titanium　alloying　element.　The　results　revealed　that　these　transition　metal　compounds　were　stable　with　the　negative　formation　energy.　Nb0.5Ti0.5C　(29.15　GPa)　demonstrated　the　largest　hardness　characterized　by　moduli　(B,　G)　because　of　the　stable　shell　configuration.　NbC　exhibited　the　strongest　anisotropy　from　the　universal　anisotropic　index　(A(U))　and　three-dimensional　surface　contours.　TixNb1-xC　compounds　displayed　relatively　strong　stress　responses　along　the　[001],　[110],　and　[111]　directions.　Due　to　the　weakening　p-d　bonding,　the　ideal　tensile　strength　gradually　decreased　with　the　increasing　titanium　concentration.　The　electronic　structures　revealed　that　the　bonding　characteristics　of　the　(Ti,　Nb)C　compounds　were　a　mixture　of　metallic　and　covalent　bonds.　On　the　other　hand,　NbC　and　TiC　exhibited　a　minimum　(740.55　K)　and　maximum　(919.29　K)　Debye　temperature,　indicating　the　stronger　metalic　bonds　of　NbC　and　covalent　bonds　of　TiC.