Kyrian forces or the Kyrian military were a military force of the Kyrian people.
In the holoprogram The Voyager Encounter, during conflict with the Kyrians, Captain Kathryn Janeway noted that they had only been attacking the Kyrian military installations which she deemed a mistake. Instead, she suggested targeting the general population. Later, after the leader Tedran was captured by an attack team and brought aboard the warship Voyager, Janeway demanded that his forces stand down, after which she would call off her attack on his cities. (VOY: "Living Witness")