In this contribution, we propose a theoretical Josephson coupling for a superconducting system in the three-component time-dependent Ginzburg-Landau model. We study a system with three superconducting bands ψ1, ψ2, and ψ3 in the superconducting condensate. The coupling between bands is of the form γ12, γ13 and γ23, taking into account couplings of each of the bands with the other two. We show the mathematical development of the final form of the complete set of acopled non-linear time-dependent Ginzburg-Landau differential equations, considering the coupling between the three bands, also we show that this coupling imposes a phase difference between the different components of the superconducting order parameter.