Between Jordan and the West Bank : Travel In The Region

Jordan does not recognize Israel as a sovereign nation. In order to enter Jordan, you must bear a passport free of any evidence that you’ve ever set foot in Israel.

Travel between the two regions is not impossible, just tricky. As far as the Jordanian authorities are concerned, when you cross the King Hussein/Allenby Bridge from the West Bank, you are coming from occupied Palestine, since Israel does not exist and thus cannot have a border. Therefore, Jordanian authorities will probably allow you to enter, as long as your passport does not have an Israeli stamp or other incriminating evidence, as described above.