In healthy individuals, sodium intake isn't an issue -- one's body (kidneys) can handle it. The article that ceazur posted mentions a list of diseases --- high sodium intake alone will not cause those diseases. Rather, high sodium intake in conjunction with a pre-existing disease state may result in a more severe incident.
For instance, an individual with sub-optimal function kidneys will be unable to maintain sodium homeostasis. That individual takes in 'excess' sodium will invariably become over/dehydrated and, at some point, will be hypertensive. Also, excess intake of other salts (think: potassium) can lead to cardiac arrhythmias and ultimately heart attacks etc.
However, a disease state needs to be present in order for sodium intake issues to become a problem. If one is healthy, there's nothing to worry about. Additionally, a liberal sodium intake will help keep your muscles hydrated --- that's a good thing.