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Martin and his second wife, Anne Stringfield, 41, "are new parents and recently welcomed a child," a spokeswoman for the actor says.
The spokeswoman gave no details, including the sex of the child or the date of birth. But the New York Post cited unidentified sources as saying the baby arrived in December.
The multi-talented Martin, whose career as a writer and performer dates back more than 45 years, has played a father in movies such as "Parenthood," Cheaper by the Dozen," and "Father of the Bride."
Martin, who has hosted the Oscars ceremony three times, married Stringfield, a former writer at the New Yorker magazine, in 2007. His eight-year marriage to British actress Victoria Tennant ended in divorce in 1994.