Using the first-principles density functional theory plane-wave pseudopotential method, the Ti3(ZnxAl1-x)C2 structure, energy, phonon properties, electronic properties and elastic properties were systematically studied by projector augmented wave (PAW) and generalized gradient approximation (GGA). The structure model of Ti3(ZnxAl1-x)C2(x=0, 0.25, 0.5, 0.75, 1) solid solutions were constructed by substituting Zn for Al element at A position in Ti3AlC2 crystal of MAX phase. The calculation analysis shows that Ti3(ZnxAl1-x)C2 solid solutions are a thermodynamic, dynamic and mechanically stable brittle material in the doping concentration range studied. In addition, Ti3(ZnxAl1-x)C2(x=0, 0.25, 0.5, 0.75, 1) solid solutions are metallic. The electronic density of states at Fermi level mainly contributes from the Ti-3d state, and possesses the comprehensive properties of ionic, covalent and metallic bonds. The conductivity and plasticity of Ti3(ZnxAl1-x)C2(x=0, 0.25, 0.5, 0.75, 1) solid solutions are enhanced to some extent with the increase of Zn doping concentration.