Russia had proposed shipping the armored vehicles to Palestinian security forces two years ago, but Israel initially balked, fearing the cars would fall into Hamas' hands.
Israel agreed in November to allow the Palestinians to
receive up to 50 lightly armored vehicles but a dispute emerged over a Palestinian demand that they have guns mounted on them.
After months of delay, Moscow agreed to Israeli conditions regarding the delivery of armored vehicles to Abbas' security forces.
Defense Ministry spokesman Ronen Moshe said the shipment of unarmed vehicles was authorized this week during the visit of Russian Foreign Minister Sergei Lavrov.
Russia agreed to Israeli conditions regarding the delivery of armored vehicles to Palestinian President Mahmoud Abbas's security forces, Israeli officials said on Friday.
"We have been hearing about these armed vehicles for more than a year," said a Palestinian security official. "Hopefully we will be able to receive the shipment."
Israel will allow the delivery of 25 additional armored vehicles once Abbas' forces expand their control in the West Bank, Israeli defense officials have said.
Israel pulled out of the Gaza Strip in 2005 but still has a large military presence in the West Bank that indirectly helps Abbas' pro-Fatah forces maintain control there.
The Associated Press and Reuters contributed to this report