Transportation from Ben Gurion Airport:
Buses, taxis and trains
Egged buses run until late Friday afternoon and on Saturday evening to many cities in Israel
http://www.egged.co.il/Eng You can also call: see handy phone numbers.
Trains do not run to Jerusalem from the airport but do go to many other venues
http://www.israrail.org.il/english There are private taxis and shared public taxis available seven days a week 24 hours a day at the airport.