Q:

How to map given latitude longitude to interstate in USA

Any type of information for Java will help like API, etc.

A:

Try Geonames.  Keep in mind the process you are interested in is called Reverse Geocoding.  One such option they perform is to return nearest streets associated with lat/long pairs like you need.  You feed an encoded url.  You get back a JSON result or an XML result, your choice.  That should be simple enough in Java.  An example url to get your started is try the following:
example

