The Cocoanuts is set in the Hotel de Cocoanut, a resort hotel, during the Florida land boom of the 1920s. Mr. Hammer runs the hotel, assisted by Jamison. Harpo and Chico arrive with empty luggage, which they apparently plan to fill by robbing and conning the guests. Wealthy Mrs. Potter is one of the few paying customers. Her daughter Polly is in love with struggling young architect Bob Adams. He works to support himself as a clerk at the hotel, but has grand plans for the development of the entire area as Cocoanut Manor. Mrs. Potter wants her daughter to marry Harvey Yates, whom she believes to be of higher social standing than Adams. Yates is actually a confidence man out to steal the dowager's expensive diamond necklace with the help of his partner in crime, Penelope.