In this thesis we define an intersection product on the Morse-Bott homology of a closed smooth manifold X developed by Frauenfelder, using so-called cascades. The product is defined by "counting flow-line tripods with cascades" and thus mimicks the usual intersection product from Morse homology. The main challenge is to understand how exactly to define suitable moduli spaces of flowline tripods with cascades. We argue that the product is natural with respect to continuation isomorphisms. This in particular implies that it coincides with the usual intersection product on the singular homology of X.