Ehud Goldwasser and Eldad Regev were taken into Lebanon after Hezbollah fighters attacked two military armed vehicles patrolling the Lebanon border, sparking the 34-day war with the Lebanese armed group.
Three other soldiers were killed in the raid.
Hezbollah has not released any details on the conditions of the two soldiers or provided any signs that they are still alive.
Hezbollah has demanded that Israel release Arab prisoners in exchange for the missing servicemen. Ehud Olmert, the Israeli prime minister, has demanded that Hezbollah provide signs of life before he will consider a deal.
In a statement, the Israeli military would say only that a report about the circumstances of the capture has been given to the defence minister, army commander and families of the soldiers.
"The working assumption of the army was and remains that the abducted soldiers are alive and according to that assumption the army continues its efforts to bring the soldiers home," the statement said.