  Bermond and Thomassen conjectured in 1981 that every digraph with minimum
outdegree at least $2k-1$ contains $k$ vertex-disjoint cycles,here $k$ is a
positive integer. Lichiardopol conjectured in 2014 that for every positive
integer $k$ there exists an integer $g(k)$ such that every digraph with minimum
outdegree at least $g(k)$ contains $k$ vertex-disjoint cycles of different
lengths. Recently, Chen and Chang proved in [J. Graph Theory 105 (2) (2024)
297-314] that for $k\geqslant 3$ every tournament with minimum outdegree at
least $2k-1$ contains $k$ vertex-disjoint cycles in which two of them have
different lengths. Motivated by the above two conjectures and related results,
we investigate vertex-disjoint cycles of different lengths in tournaments, and
show that when $k\geqslant 5$ every tournament with minimum outdegree at least
$2k-1$ contains $k$ vertex-disjoint cycles in which three of them have
different lengths. In addition, we show that every tournament with minimum
outdegree at least $6$ contains three vertex-disjoint cycles of different
lengths and the minimum outdegree condition is sharp. This answers a question
proposed by Chen and Chang.
