The ears and nose are the body organs that continue to grow throughout a person's lifetime until death. While most body organs stop growing after childhood or early adulthood, the cartilage in the ears and nose never stops expanding. This is due to the properties of elastic cartilage, which is constantly undergoing remodeling and accumulation of new tissue. Other parts that continue to grow include the skin and hair. This is why elderly people often appear to have larger noses and ears compared to their younger years. Additionally, gravity also plays a role in making these features appear larger as they sag with age. So the answer to which body organ never stops growing until death is primarily the ears and nose due to continuous cartilage growth.