Rabbits can eat broccoli. Broccoli is a safe and healthy vegetable for a rabbit to eat, because it is high in fiber and low in sugar. A rabbit's digestive system handles foods with a high-fiber, low-sugar profile well, whereas sugary fruit and starchy carrots can cause serious digestive problems.
Rabbits, unlike humans, do not experience flatulence or goiter even when consuming large amounts of broccoli. However, rabbits must consume broccoli in moderation, because the main part of a rabbit's diet depends on fresh grass hay. Feeding a rabbit vegetables, without fiber from hay or grass, can prevent the digestive system from moving food along quickly enough, resulting in an overgrowth of harmful bacteria.