It said the court yesterday sentenced Maher al-Hashlamoun, a member of Islamic Jihad from the occupied West Bank city of Hebron, after previously convicting him of murdering Dalia Lemkus, 26, as she waited at a bus stop outside Alon Shvut settlement in November.
Hashlamoun wounded two other people before a security guard shot and wounded him.
The military could not immediately confirm or deny the sentence.
The Post said that he had been freed from prison in 2005 after serving five years for throwing a petrol bomb at Israeli troops.
The assailant was later arrested.