We investigate properties of the set of discrete Morse functions on a fixed simplicial complex as defined by Forman [5]. It is not difficult to see that the pairings of discrete Morse functions of again form a simplicial complex, the complex of discrete Morse functions of . It turns out that several known results from combinatorial topology and enumerative combinatorics, which previously seemed to be unrelated, can be re-interpreted in the setting of these complexes of discrete Morse functions.