This is the easiest way to tame a bee without having to chase it down. First lower the health for the hive then build a platform in front of the hive, place a wooden cage with the door to the hive, break the hive and the queen will fly into the cage, close the door and tame away.
ALWAYS break the hive with ranged attacks. If you choose to melee it,drones will continuously spawn from it infinitely, and they will repair the hive, so best to shoot it down and kill all the drones before attempting a tame. Oh, and the queen will spawn more drones periodically, so bee careful.