Tigrai TV said the attack on the city of Mekelle was carried out by "Abiy Ahmed", referring to Ethiopia's prime minister and the government forces he leads.
The military and the prime minister's spokesperson did not immediately respond to requests for comment.
An aid worker in Tigray said there had been air strikes in Mekelle. Reuters was unable to verify the reports in an area that is off-limits for journalists.
The Ethiopian military and its allies have been fighting forces from the northern region of Tigray for 11 months.
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