Ky. R. Civ. P. 62.01
A motion for a new trial or to alter, amend or vacate a judgment made pursuant to Rule 59, or a motion for judgment in accordance with a motion for a directed verdict made pursuant to Rule 50, or a motion for amendment to the findings or for additional findings made pursuant to Rule 52.02 shall operate to stay the execution of or any proceedings to enforce a judgment pending the disposition of any such motion or motions, provided that such motion is filed with the court within the time prescribed for the making of or service of such motion. In its discretion and on such conditions for the security of the adverse party as are proper, the court may stay the execution of or any proceedings to enforce a judgment pending the disposition of a motion for relief from a judgment or order made pursuant to Rule 60. Unless otherwise ordered by the court, a final judgment in an action for an injunction shall not be stayed during the period after its entry and until an appeal is taken.
Ky. R. Civ. P. 62.01