Some vegans do eat honey while others don't. Technically you're not supposed to if you're a vegan since it's honey is created by bees. In terms of diets, vegans should eat nothing that is derived wholly or partially from animals, which means honey shouldn't be in a vegan diet. But then again, some vegans choose to eat honey.
See Vegan means not to use or eat nay product made or produce by animals. Honey is also made by bees and so it cant come under vegan food or even i vegan diet.