In this paper an attempt is made to give a geometrical description of the generalized gauge vector and tensor fields of the groupSU3 in terms of the Riemann connexion and curvature of a sixdimensional almost-Hermitian space. This is achieved by allowing the linear Hermitian space of the almost-Hermitian space, which carries a set of Hermitian connexion and curvature forms, to play the role of an abstract fibre of the space-time manifold and then taking a fibre vector around a loop on this manifold. This gives rise to the internal group of holonomyHint⊆SU3 of the event space in such a way that the exansion coefficients of the connexion and the curvature of the internal bundle, which are elements ofHint⊆SU3, constitute the generalized gauge vector and tensor fields of Yang and Mills, respectively.