Meena was born in Chennai. She was brought up in Chennai by her Tamil father Durairaj and Malayali mother Rajamallika from Chirakkal Palace-Kannur district. She was enrolled in Vidyodhya schools in Chennai. Because of her busy acting schedule, she had to discontinue schooling in the 8th standard, later taking up private coaching and completing the 10th standard in vidyodaya schools in Chennai. She went on to get her master’s in History from the University of Madras through the open university system in 2006. Meena is a trained Bharathanatyam dancer and speaks six languages: Tamil, Malayalam, Telugu, Kannada, Hindi, and English.