Abstract
We prove that every tournament with minimum out-degree at least inline image contains k disjoint 3-cycles. This provides additional support for the conjecture by Bermond and Thomassen that every digraph D of minimum out-degree inline image contains k vertex disjoint cycles. We also prove that for every inline image, when k is large enough, every tournament with minimum out-degree at least inline image contains k disjoint cycles. The linear factor 1.5 is best possible as shown by the regular tournaments.