  This paper is one step toward infinite energy gauge theory and the geometry
of infinite dimensional moduli spaces. We generalize a gluing construction in
the usual Yang-Mills gauge theory to an ``infinite energy'' situation. We show
that we can glue an infinite number of instantons, and that the resulting
instantons have infinite energy in general. Moreover we show that they have an
infinite dimensional parameter space. Our construction is a generalization of
Donaldson's ``alternating method''.
