In the case of the Olympic runner, Nader Masri, the travel ban was upheld today by Israel's Supreme Court. Masri, 34, participated in the 2008 Olympics in Beijing.
Separately, 36 young musicians requested to leave Gaza for a weeklong music competition in the West Bank and east Jerusalem, but were also denied permission, organisers said.
An Israeli defense official said a final decision has not been made. The competition begins tomorrow.
Israel and Gaza's other neighbor, Egypt, have severely limited access to Gaza since the territory was seized by the Islamic militant Hamas in 2007. Virtually all exports from Gaza are banned and most of Gaza's 1.7 million people cannot travel abroad. Israel considers Hamas, which has killed hundreds of Israelis in suicide bombings and other attacks, a terrorist group.
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Itidal al-Mugrabi, a senior official in the committee, said all requests were denied last month. She said the Bethlehem event, which will also include shorter races, was expected to draw some 700 runners from Europe in addition to local athletes.
After being denied a permit, Masri approached the Israeli rights group Gisha, which appealed to Israel's Supreme Court.
The judges ruled today that they could not intervene in the defense minister's policy considerations, but suggested the military consider more exemptions from the travel ban. Masri said he was disappointed.