The coronavirus has also spread to Bethlehem, and now the Israeli military is not allowing people in or out.
Palestinian President Mahmoud Abbas earlier declared a state of emergency after seven cases were confirmed.
Tourists and pilgrims are banned from the area for the next two weeks.
The Church of the Nativity, revered among Christians as the birthplace of Jesus, is among the sites that have been closed.
Areej Murad, an activist in Bethlehem, which is currently under lockdown, talks to Al Jazeera.
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