Healthy and Disease Free are basic states of normal humans. A healthy person can be disease free, but a disease free person cannot be a healthy person; i.e. healthy is a state of an individual, who is physically, mentally, emotionally and physiological well in their lifestyles. While, Disease-free is a state of the body, which merely implies freedom from diseases.
Healthy is a state wherein a person is fit and fine from all aspects, including all his physical, mental, psychological and emotional state. Being healthy refers to being free from any diseases. But, being diseases free does not refer to be healthy, i.e. a person who is disease free does not have any diseases but, they might not be stable from inside as that of a healthy person.