Top Universities are:
Indian Institute of Psychology and Research, Bangalore
Annamalai University, Faculty of Science, Chennai, Tamil Nadu
Banaras Hindu University, Faculty of Science, Varanasi, Uttar Pradesh
Lovely Professional University, Faculty of Science, Phagwara, Punjab
Indira Gandhi National Open University, Faculty of Science, Delhi
Jamia Millia Islamia University, Faculty of Science, New Delhi
Jawaharlal Nehru University (JNU), Faculty of Science, New Delhi

M.Sc. Psychology is a fully accredited postgraduate conversion course for students who wish to pursue a professional career in counselling psychology, clinical psychology, educational psychology.

Here are some of the colleges for M.Sc Psychology you can prefer:

BHU

Desh Bhagat University, Punjab

Allahabad University

Bangalore University, Karnataka

Good Luck!