Between 7,000 and 12,000 Ethiopian Jews are estimated to be living in the Tigray region.
Liz Throssell, an OHCHR spokesperson, described numerous attacks, including on a private minibus, an airport and a camp for displaced people.
The year-long war between Ethiopia's government and the leadership of the northern Tigray region has killed thousands of civilians and displaced millions.
Forces aligned with the Tigray People's Liberation Front had taken control of the town, in the Amhara region, in early August.
She said the Amhara forces had left in the direction of Lalibela on Wednesday morning, and residents coming from that direction said the Tigrayan forces had left there too.
In addition, Britain called on its nationals to leave Ethiopia immediately.
Israel, as a friendly nation, continues to be a staunch supporter of peace and stability in Ethiopia.
DIASPORA AFFAIRS: Economic hardship and forced conscription are becoming increasing worries for the communities of Jews and descendants in Ethiopia as the civil war intensifies.
Some demonstrators denounced the United States as a year-long war that has killed thousands of people intensified amid rebel advances last weekend.
All sides are accused of torturing and killing civilians, carrying out gang rapes and making arrests on the basis of ethnicity.