The survey has forecast that the saffron alliance will win over 50.8 per cent of votes, a rare feat in the state, while the Nitish Kumar-Lalu Prasad combine will have over 42.5 per cent vote share.
Muslims and Yadavs are seen as crucial support base of the 'secular' alliance.
The survey, according to a statement, says NDA and the grand alliance will win over 140 and 70 seats respectively and are locked in a "close fight" in 33 constituencies.
The five-phase Assembly elections in the state will be held from October 12 to November 5. The counting of the votes will be on November 8.