The deuteron stripping reaction is reformulated by using completely antisymmetric wave functions: The amplitude of the reaction will be represented as a sum of two parts, stripping and heavy-particle-stripping amplitudes. Quite analogous to the case of the “ordinary” stripping, the amplitude of the heavy-particle-stripping can be represented in terms of three reduced width amplitudes of bound nucleons, e.g. in (d, p) reaction, those of captured neutron and proton in the residual nucleus and that of the emitted proton in the target nucleus, or alternatively, in terms of two reduced width amplitudes of the emitted proton and captured deuteron in bound states. The latter formulation is natural generalization of Owen and Madansky's. By making use of present formalism, one can calculate not only angular distribution but also the “magnitude” of heavy-particle-stripping cross section. For simplicity, the Butler approximation, i.e. the cutoff Born approximation, is employed, though its generalization can be performed easily, as will be discussed in the final section. Some qualitative discussions are given. Numerical calculations and more detailed comparison between the stripping and heavy-particle-stripping cross secions will appear in our subsequent paper.