"I want to apologize to my fans for screwing up again, and to promise them I'll sort myself out," he said in a statement distributed by his publicists. Michael added: "And to say sorry to everybody else, just for boring them."
Michael, whose hits include "Careless Whisper," "Faith" and "Father Figure," has had several run-ins with the law, on charges ranging from drug possession to lewd conduct.
A spokesman for the Metropolitan Police said only that a 45-year-old man had been arrested and cautioned for possession of drugs, and that there would be no further action taken.