The 2015 edition is over of course, but there is an ongoing qualification process for the finals of the 2016 edition, known as Puzzle Ramayan. Look at the schedule here - http://logicmastersindia.com/PR/2015-16pr.asp .
Note those dates and participate in those on this site. Refer to this page for details on how to participate - http://logicmastersindia.com/forum/forums/thread-view.asp?tid=381

Is this championship different from the National Sudoku Championship? And if this is different, then when is it due in 2016 and the process for the same. Thanks.

It is different, and it is done for this year, on 17th of July, in Chennai. However if you keep track of the forum you should be able to see more contests both in puzzles and Sudoku. The past content of Indian Puzzle Championship is available for free here - http://logicmastersindia.com/lmitests/downloads.asp?testType=99 . This year's content isn't public and is on sale. Check here for details - http://logicmastersindia.com/forum/forums/thread-view.asp?tid=1014&...