Abstract: We review several known, but unfortunately not well-known results about the (singular) homology of fibre bundles. We use simplicial sets and in particular twisted Cartesian products, which are the simplicial analogues of fibre bundles. The central result is the twisted Eilenberg-Zilber theorem, which relates the chains on a bundle to a twisted tensor product of the chains on base and fibre. The Eilenberg-Moore theorems are easy consequences of it.