The Congress is leading in 98 and the Bharatiya Janata Party is ahead in 67 in Rajasthan.
Trends are out in 190 of 200 constituencies.
Mayawati's Bahujan Samaj Party is ahead in four seats, the Communist Party of India-Marxist in two and the Janata Dal-United and the Samajwadi Party are leading in one each. Others are leading in 17 seats.
All India Congress Committee general secretary Ashok Gehlot, who spearheaded the party's campaign in the state, and Chief Minister Vasundhara Raje of the BJP were leading from their Sardarpura and Jhalrapatan constituencies respectively.
"Everybody is relieved that the BJP is on its way out. People were being terrorised during the BJP rule," Gehlot said.
Asked who the next chief minister would be if the party gets a majority, Gehlot said the party high command would take a decision on the matter.