You can apply in month of April or may for the same. Eligibility Criteria for doing B.Ed is Pass with 50% aggregate marks in Bachelors Degree or Masters Degree in Sciences or Social Sciences or Humanities or Commerce or equivalent

or
Pass with 55% aggregate marks in B.Tech. Or B.E. With specialisation in Science and Mathematics or equivalent (Candidate must have studied the subject of the subject combination for at least three years at Bachelors Level or Masters Level)
5% relaxation for SC/ST/OBC and other categories as applicable. Some institutes conduct entrance exam where as in some institutes You can even apply directly for admission. A good universities are: Delhi University, Delhi, Lovely Professional University- Punjab, VIT University Tamilnadu, Jamia Millia Islamia University Delhi, NMIMS Mumbai, Anna University Tamil Nadu, University of Mumbai, University of Kolkata, Pune University, University of Hyderabad, Delhi University, AMU The Maharaj Sayaji Rao University, JNU Delhi. Savitribai Phulle University.

Hello,
Candidates can pursue B.Ed programme, after completing graduation. Admission process vary from college to college. Kindl mention you are seeking admission in which college/university so I can answer accordingly.
Good Luck!