Most rabbits love Celery but, as with all treats that you give rabbits, it is important to not give them too much because it can lead to digestive troubles and even diarrhea or death.
The main diet of all rabbits should be properly formulated and balanced pellets that are primarily made of hay. Feeding pellets is very important because they ensure that your rabbits will get enough minerals, vitamins, essential amino acids and other nutrients that they need to stay healthy.
For long-term health adult pet rabbits require a low-energy balanced food that is rich in fiber like timothy hay. It is best to feed a grain & soy free rabbit food with a small amount of natural fresh-ground whole oil seeds like flax that provides important nutrients (like vitamin E) and promotes a healthy fur coat and digestive system.
Baby rabbits require a high energy diet that is low in sugar and carbohydrates but rich in nutrients and fat "like mamma's milk." This style of rabbit food provides all of the nutrients they need in a balanced fashion that ensures healthy growth and greatly reduces the risk of digestive troubles that lead to bloating and diarrhea. It also builds a healthy nutritional foundation for your bunny that will last into the adult years.
So, can rabbits eat celery? Yes they can but only as a treat!