She, however, stopped short of expressing immediate support for Mr Kovind saying the BSP will be positive provided the opposition does not field any Dalit for the top post.
"The BSP's stand cannot be negative towards a Dalit nominee for the post of president. Our stand will be positive provided the opposition does not field any Dalit for the top post," she said in Lucknow.
The BSP chief, however, said it would have been better if all opposition parties were taken into confidence by the BJP-led NDA at the Centre before announcing the name of its candidate.
Mr Kovind, a 71-year-old low profile Dalit leader, a two-term BJP Rajya Sabha member, is being seen as an astute choice by the saffron party, which has been targeted by opposition parties over Dalit issues.
Mr Kovind's choice is being seen as a political masterstroke as many parties would not like to oppose a Dalit being elected to the country's highest office.
K R Narayanan was the country's first Dalit president.