Yes — safe in moderation
Yes — rabbits can eat celery, leaves and all. It’s a crunchy, fibre-rich green; just chop it so the stringy bits don’t catch, and serve it as part of a varied greens mix.
Celery is a safe, low-sugar vegetable that adds fibre and a satisfying crunch many rabbits love, and the leaves are nutritious too. The only minor consideration is the stringy fibres in the stalk — chopping celery into short pieces stops any strands becoming a nuisance. As always with rabbits, celery is one green among many: rotating a variety of leafy vegetables and herbs is healthier than a lot of any single one.
A short stick or a few chopped pieces a few times a week, within the daily greens allowance (about a packed cup of mixed greens per kg of rabbit). Wash well and introduce gradually. Hay remains the unlimited staple.
General information, not veterinary advice. If your pet has eaten something potentially harmful or shows symptoms, contact your vet or an emergency clinic immediately. Full disclaimer.