The party had given four seats to the RJD and all candidates of its ally also lost their deposits.
Chopra had offered to resign on Tuesday soon after the results taking the moral responsibility for the party’s performance. He was made the party chief in October last.
Chacko, who has been in-charge of Delhi for over five years, had also sent his resignation.
The Congress was in power in the national capital for 15 successive years before the advent of Aam Aadmi Party.
In the results announced on Tuesday, AAP secured 62 of 70 seats while the BJP was restricted to eight.