Ben Gurion International Airport

Ben Gurion is the international airport of Israel. Security measures are reasonably intense, so make sure you don't look like you're doing weird things. Fortunately hitchhiking is very common in Israel, so you don't have to worry too much.

The airport is close to Tel Aviv and very close to the highway between Jerusalem and Tel Aviv.

Hitchhiking out
There is only one entrance/exit from Highway 1 and the military checkpoint doesn't seem a good place to hitchhike. Better stick to the terminals. Try at the taxi/pick up/drop off road in front of terminals. Make sure you have a sign (probably better in the Latin script) with your destination. It took guaka 4 minutes to find a ride with some Americans from Boston.

Route 40, to Jerusalem. Modi'in
From terminal 1 you can easily walk to Route 40, just make sure to walk to the trempiyada.