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Starting from a classical 2D superconformal theory described bythe Wess-Zumino-Witten action, the canonical exterior formalism ongroup manifold for the heterotic supersymmetric sigma model isconstructed. The motion equations of the dynamical field and theconstraints are found and analyzed from the geometric point ofview. It can be seen how the use of the canonical exteriorformalism is more adequate and simple because of its manifestcovariance in all the steps. The relationship between the formbrackets defined in the canonical exterior formalism and thePoisson-brackets is written. Later on, the Dirac-brackets arewritten by using the second class constraints provided by thecanonical exterior formalism. As it can be seen the canonicalexterior formalism allows to show how the canonical quantizationof the heterotic supersymmetric sigma model is facilitated.