A new methodology leading to the construction of a universal connec- tion for Frechet principal bundles is proposed in this paper. The classical theory, applied successfully so far for finite dimensional and Banach mod- elled bundles, collapses within the framework of Frechet manifolds. However, based on the replacement of the space of continuous linear mappings by an appropriate topological vector space, we endow the bundle J 1 P of 1-jets of the sections of a Frechet principal bundle P with a connection form by means of which we may "reproduce" every connection of P.