The AAP is ahead of its rivals and has the most chances of taking power in Delhi, exit polls said Saturday evening after assembly elections ended.
The India Today-Cicero poll gave Aam Aadmi Party 35-43 of the 70 seats, the Bharatiya Janata Party (BJP) 23-29 and the Congress three to five seats.
Any party will need at least 36 seats to form a government in Delhi.
Based on voting until 3 p.m., the C-Voter exit poll gave the AAP 31-39 seats, the BJP 27-35 and the Congress two to four seats.
The AAP and the BJP were widely seen as the principal contenders for power in Delhi.