This bridge is, in fact, known as the Bear Mountain Bridge. It carries not only Routes 6 and 202 accross the Hudson, it carries the Appalachian Trail as well. It has a nice walkway and is also suitable for bycycles to cross.
Shouldn't this be called the Bear Mountain Bridge? http://en.structurae.de/structures/data/index.cfm?id=s0000530
http://www.bridgemeister.com/bridge.php?bid=141
It was once the longest suspension bridge in the world.