Hey, as per my knowledge there is a requirement of Bachelor's Degree in Design (B.des) from a  recognized institute with a minimum of 50% marks .

If you want to pursue Masters in Design you must look out for a Bachelor's Degree first.

The Top colleges for B.Des in India are as follows:

1.National Institute of Design(NID), Delhi

2.NIFT,Delhi

3.Sir JJ School of Arts,Mumbai

4.Sai School of Interior Design,Delhi

5.Arch Academy of Design,Jaipur

I hope this will help you!!