The special session will begin on June 9.
The decision was taken at a Cabinet meeting chaired by Chief Minister Arvind Kejriwal at the Delhi Secretariat.
"Delhi Assembly session next week to discuss how BJP's MCD has made whole of Delhi into a garbage bin due to its corruption and mismanagement (sic)," Kejriwal tweeted.
The Chief Minister claimed his government has done a "commendable job" in preventing outbreak of dengue in the national capital and said the BJP-led municipal corporations of East, North and South Delhi need to "improve their functioning".
In the recent bypoll to 13 wards, AAP made a debut by winning five seats, while Congress managed to win five seats and BJP three.
During the two-day session, Speaker of Delhi Assembly Ram Niwas Goel may administrate oath of office to AAP MLA Rakhi Birla as Deputy Speaker of the House.
AAP has formalised her name as successor to Bandana Kumari who resigned on Saturday.
