At least 200 people have been arrested by police in connection with the violence over the weekend that saw 23 killed.
Extra security officers have been deployed to the violence-hit area and operations are under way to recover looted properties, police added.
At least 23 people were killed in the unrest in and around Burayu, a town north-west of Addis Ababa.
Some residents say the violence was unleashed by members of the Oromo ethnic group, the largest in Ethiopia, who demanded that people from minority communities “leave their land”.
Protesters took to the streets of Addis Ababa on Monday to demand an end to the violence, forcing the closure of many businesses.
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