Abu Obeida said that the woman had been held with a second female hostage whose life was in danger.
During last year’s Hamas attack which triggered the Gaza war, militants took 251 hostages, of whom 97 are still held in Gaza, including 34 the army says are dead.
Ten female hostages, including five soldiers, were believed to remain alive in custody before Abu Obeida’s statement, according to an AFP tally.
During a one-week truce in November last year, 105 hostages were freed, including 80 Israelis who were exchanged for 240 Palestinian prisoners.
The Israeli government has come under immense public pressure to agree a new deal to bring the remaining hostages home while they are still alive.
