Karan Singh Yadav and Raghu Sharma were leading their nearest rivals Jaswant Yadav and Ram Swaroop Lamba by over 1.94 lakh and 80,455 lakh votes in the by-poll for Alwar and Ajmer seats respectively, Chief Electoral Officer Govind Sharma said.
The main opposition party's candidate Vivek Dhakad has already won the Mandalgarh Assembly seat, defeating his BJP rival Shakti Singh Hada. The Congress wrested Mandalgarh from the BJP.
The party, which wrested power from the Congress in in Rajasthan in 2013, had 161 MLAs in the House of 200.
Assembly polls in Rajasthan are due later this year.