Congress party president Sonia Gandhi's daughter Priyanka Gandhi Vadra and husband Robert Vadra cast their votes at a polling booth in New Delhi on Saturday.
"Congress has faced difficulties before and it has always come through, I'm sure it will come through this time as well," said Gandhi.
Kejriwal had resigned after 49 days in office, which led to the imposition of central rule and eventually the fresh elections being held today.
Polling for the 70-member Delhi assembly began at 8 a.m. amid tight security. Around 35 percent voting turnout was recorded till 1.00 p.m. According to the office of the Chief Electoral Officer of Delhi, all arrangements are in place to ensure free and fair polling.
About 55,000 police personnel have been deployed to ensure hassle free voting. The police will also undertake patrolling in different parts of the capital to prevent the distribution of liquor, money or any other allurements.
Over 1.33 crore electorate will decide the fate of 673 candidates.
The polling is presently on at 12,177 polling stations. Of these, 714 have been declared as critical and 191 as highly critical. Voting will continue till 6 p.m. in the evening.