Till 3 PM, AAP had won 54 of the 57 seats for which the results were available with Election Commission and was leading on 13 seats.
The BJP, which was hoping to ride on Narendra Modi's "magic" before the elections, could only manage to secure three seats.
Congress, which drew a blank in Delhi in the last Lok Sabha polls, met a similar fate this time as it failed to open its account in the Assembly polls.
The highest number of 53 seats for AAP was predicted by India News-Axis poll, which gave BJP 17 and Congress up to two seats.
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News 24-Today's Chanakya exit polls had predicted a majority for AAP, giving it 48 seats and 22 to BJP. It, however, did not give a single seat to Congress.
The India Today-Cicero exit poll on Headlines Today channel had projected up to 43 seats for AAP and had given BJP up to 29 seats. Congress was tipped to get up to five seats by the survey.
India TV's exit poll had put AAP at the top with 31 to 39 seats and had predicted 27 to 35 seats for BJP while giving 2 to 4 seats to Congress.