Miss Prysselius shall take care of Tommy and Annika for some days, while their parents are away. They find this unbearable and ask Pippi what to do. Pippi suggests that they run away together in a rowing-boat, get shipwrecked and run ashore on a desert island. The plan is carried out, but when they wake up in the morning on the island, they discover that their boat is missing. Tommy and Annika start longing for their parents, and Pippi for her father.