However, the chief minister did not name the parties. The electoral college for the presidential polls is 11,04,546 votes.
Mr Fadnavis made the remarks when asked about the Shiv Sena -- the BJP's ally in the Centre and in the state government -- insisting on fielding RSS chief Mohan Bhagwat as the NDA's nominee for the election. Bhagwat himself has rejected the proposal.
"The UPA had only 37 percent votes when Mr (Pranab) Mukherjee became president, whereas we already have more than 50 percent votes with us. So, there is no problem (for the NDA) and nobody can blackmail us," Mr Fadnavis said without naming the Shiv Sena or any party.
In the previous presidential poll held in 2012, Mr Mukherjee had secured 7,13,763 votes as against 3,15,987 polled by his rival PA Sangma.
President Pranab Mukherjee completes his five-year tenure on July 25.
(Except for the headline, this story has not been edited by NDTV staff and is published from a syndicated feed.)