The justices accepted the case in a one-line order without comment after meeting in private conference Monday to sift through petitions that had accumulated during the summer recess. The justices granted view in eight cases, including the one involving the 1985 Oscar-winning film, and denied review in one.
The copyright case was brought by Paula Petrella, daughter of Frank Petrella, who wrote the book and screenplay for "Raging Bull.
The Los Angeles Times said Frank Petrella and boxer Jake LaMotta in 1976 assigned the rights to their book and screenplay to Chartoff-Winkler Productions. Two years later, United Artists and MGM acquired the motion picture rights.
Frank Petrella died in 1981.
Paula Petrella sued MGM for alleged copyright infringement in 2009. She contended she had been trying to renew her father's copyright for the book and screenplay after it expired in 1991.
A federal judge ruled she waited too long to sue, and the Supreme Court will decide that issue.
The Times said the high court was expected to begin the new term Monday despite the government shutdown. Argument in the "Raging Bull" case has not yet been scheduled.