We investigate the high energy behaviour of a massive non-Abelian gauge theory by deriving a Reggeon field theory. Analysing the leading 1n s coefficient in arbitrary order perturbation we find that due to extensive cancellations between different Feynman diagrams the transverse momentum is always strongly cut off. This leads to the existence of moving Regge poles as leading singularities in all quantum number configurations. We give a general description of the leading 1n s piece in arbitrary order perturbation theory and compute, in lowest order, Reggeon trajectory function and triple Reggeon vertices. We find that the Reggeon belonging to the highest multiplet has a negative mass (intercept above one), and we discuss the possible implication of this result.On leave from II. Institut für Theoretische Physik der Universität Hamburg.