When taming a rabbit, there is no way to make it sit and stay like other tame mobs (with the exclusion of Horses). This causes tamed Rabbits to constantly teleport to the Player, and becomes an annoyance and inconvenience.
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duplicates
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Horses do not teleport to the player, but rabbits do. Leads are not completely reliable; they frequently snap when the rabbits try to get away. Horses can be penned in without leads, but rabbits cannot.
Either rabbits should not teleport to the player, or they should be able to sit to reliably disable teleportation.
Jonah Simm
I believe that is work as intended. Rabbits will not sit and, just like horses, if you want to keep it within a certain area you should tie it using a lead. That should prevent it to teleport to the player.