The film is about a sequence of events that take place after a lunch box is delivered at a wrong address by Mumbai's famous Dabbawallahs.
Portuguese director Miguel Gomes will preside over the jury for this year's Critics Week, which runs from May 16 to May 24. The Cannes festival begins on May 15 and end on May 26.
Harvard University had analysed the delivery system of the Dabbawallahs, and concluded that only one in 8 million lunch boxes is ever delivered to the wrong address.
Gradually, this fantasy threatens to overwhelm their reality.
The film features Irrfan Khan and Nawazuddin Siddiqui in lead roles.
Besides "Dabba", two Indian films are in the official selection of the Cannes film festival this year -- "Bombay Talkies" by Anurag Kashyap, Dibakar Banerjee, Zoya Akhtar and Karan Johar will have a gala screening, while there will be a midnight screening for Amit Kumar's "Monsoon Shootout".