  The aim of this paper is to prove an important generalization of the
construction of the Incidence Divisor given in [BMg]. Let Z be a complex
manifold and (X_{s})_{s\in S}an family of n-cycles (not necessarily compact) in
Z parametrized by reduced complex space S. Then, to any n+1- codimensional
cycle Y in Z wich satisfies the following condition : the analytic set (S\times
|Y|)\cap |X| in S\times Z is S-proper and generically finite on its image
|\Sigma_{Y}| wich is nowhere dense in S, is associated a Cartier Divisor
\Sigma_{Y} with support |\Sigma_{Y}|. Nice functorial properties of this
correspondance are proven and we deduce the intersection number of this divisor
with a curve in S.
