You can increase your Neopet's Hit Points by doing Dark Faerie quests, and also by feeding your Neopet food items such as Sneggs and Cool Neggs. Other ways to increase your Neopet’s HP is to train them in Endurance at the Swashbuckling Academy or at theTraining School on Mystery Island. As with your Neopet's level, you can also occasionally get a Random Event that will raise your Neopet's Hit Points!