Bengal Cats are pretty healthy cats overall but Bengal cats are pretty prone to a heart disease called Hypertrophic Cardiomyopathy which is found in all cats and not just the Bengal Cats but Bengal cats are more prone to the heart disease than other cats.
Another health problem that Bengal cats are more prone to is Cataracts but overall the Bengal cats are pretty healthy and as long as you take care of them and keep there vet visits up like you should then the Bengal cat should stay healthy and live a nice long life.