M.D

After your undergraduate degree, you need more advanced training before you can consider yourself a neuroscientist. There are a number of neuroscience careers, and what you hope to do dictates the type of degree you need.
If you want to work with brain injury patients, head to a medical school. If you want to find new medicines or figure out, why Alzheimer affects certain people? You need get your Ph.D. and become a researcher. You can become anything from a professor at a university to a researcher for the National Institute of Health.
Select a school based on what their labs and Professors are focusing on. Working with those already in your preferred area of study will not only help you make a network but also get you the hands-on research experience which you will need to get hired.
Many universities in India offer M.Tech, MS and Ph.D programmes in neuroscience and they are as follows:
Indian Institute of Sciences (IISc), Bangalore offers Ph.D in neuroscience, National Brain Research Centre (NBRC), Haryana. It offers Ph.D and M.Sc in neuroscience.
Madras University offers M.Sc in neuroscience
Jiwaji University, Gwalior offers an M.Sc in neuroscience
NIMHANS offers Ph.D in neurophysiology, Neuromicrobiology and neurovirology
IIT-Gandhinagar offers an M.Sc in cognitive science.