Time-dependent Ginzburg-Landau (TDGL) formulation has been developed for ordering processes of B2 and D03 types in binary alloy systems. In the formulation three order parameters are defined to describe the state of order. Equivalent variants of B2 and D03 structures are distinguished with the order parameters. The mean-field free energy is defined in a form of Landau type expansion with the order parameters and a composition parameter. Interfacial energies due to local variations of degrees of order and concentration are given with gradient square approximation. Kinetic equations are derived from the Ginzburg-Landau type potential to describe time-evolutions of the order parameters and the concentration. Two-dimensional numerical simulations were performed on the basis of the derived kinetic equations. The results reproduce well the formation of B2 and D03 ordered domains in the processes in an Fe3Al alloy.