  We realize the string/$(D-5)$-brane duality on the action level between the
$T^{10-D}$-compactified heterotic string effective action and the $(D-5)$-
brane effective action in $D$ dimensions by managing a Lagrange multiplier
field. A dual dictionary is composed to be available for the translation
between the elementary or solitonic solutions of the dual pair of actions. In
the same way the $S$ duality is also reconstructed on the action level as a
double dualization for the $T^6$-compactified heterotic string effective
action.
