There's a big difference between health and fitness. You can hit the gym and run and still not be healthy. These things are only about getting fit. In fact, if you're not healthy, getting fit can be dangerous. Fitness is defined by the absence of disease and the ability to do physical work. Health is characterized by the proper functioning of all your systems, not merely the muscular-skeletal.
A proper, balanced fitness program will make you stronger and less prone to disease at the same time.