A k-circuit C(subscript k) is a directed cycle of length k. For a multidigraph G, a C(subscript k)-packing is a set of arc-disjoint subdigraphs of G each of which is isomorphic to C(subscript k) A C (subscript k)-packing is maximum if it has the maximum number of members among all packings. In this paper the problem for finding a maximum C(subscript k) -packing of complete tripartite multidigraph is solved.