WASHINGTON — Former President Jimmy Carter underwent surgery for a broken hip on Monday after falling at his home in Plains, Ga., his office said.

Mr. Carter, 94, the longest-living president in American history, was recovering from the operation at Phoebe Sumter Medical Center in Americus, Ga., with his wife, Rosalynn, at his side, the office said in a statement.

The statement, issued by Deanna Congileo, his press secretary, quoted his surgeon as saying the operation was successful. Mr. Carter was leaving home to go turkey hunting when he fell, according to the statement.

“President Carter said his main concern is that turkey season ends this week, and he has not reached his limit,” the statement said. “He hopes the State of Georgia will allow him to roll over the unused limit to next year.”