BOSTON — Senator Scott Brown reveals in his memoir that he was molested by a camp counselor as a child, according to a “60 Minutes” interview to be broadcast Sunday.

Mr. Brown, a Republican who last year won the Massachusetts seat that former Senator Edward M. Kennedy had held for nearly a half century, is to embark on a national tour next week to promote the book, “Against All Odds: My Life of Hardship, Fast Breaks, and Second Chances,” which is scheduled to be released Monday.

Its publication comes as Mr. Brown gears up for a re-election campaign in 2012. He has said that he hopes to raise up to $25 million for the campaign.

A former state senator, Mr. Brown instantly became a Republican celebrity after winning the Senate seat by a decisive margin in this heavily Democratic state. His victory ended the Democrats’ supermajority in the Senate and energized Republicans heading into last fall’s midterms.

Democrats are still looking for a strong challenger for next year’s race after Gov. Deval Patrick and Victoria Reggie Kennedy, Mr. Kennedy’s widow, ruled out running.

In the “60 Minutes” interview, Mr. Brown says he never told anyone about the abuse — which he says happened “more than once” at a summer camp — before writing the book.

“Fortunately nothing was ever fully consummated, so to speak,” he says in the interview, “but it was certainly, back then, very traumatic. He said, ‘If you tell anybody I’ll kill you.’”

Mr. Brown also writes in the book about shoplifting numerous items as a teenager, including a three-piece suit, according to The Boston Globe, which obtained a copy on Wednesday. He has previously acknowledged being arrested for shoplifting records when he was 12.

His book tour will start in Boston on Tuesday and go to Texas, California and Florida before returning to New England.