I was surprised to see that Norton1 was correct, although only partly. The official name of the award is The Medal of Honor. However, unlike the other awards in the so called "pyramid of honor" (e.g. Silver Star, Distinguished Service Cross), which the President gives them out in his own name, the higher award is given out by the President in the name of the Congress so "Congressional" in this contect is an adjective rather than a part of the original title si it can correctly be called "The Congressional Medal of Honor" even though the name of he award is "The Medal of Honor"

This is a small point but I was curious what Norton1 meant. Now I know.

Sourdough