The announcement came just a fortnight after the three countries resumed negotiations, after a lengthy break, on an agreement which takes account of the water needs of all three.
Egypt and Sudan fear the massive $4.2-billion dam will severely reduce the share of Nile water they receive and have repeatedly asked Addis Ababa to stop filling it until they have all reached agreement on how it should work.
"It is with great pleasure that I announce the successful completion of the fourth and final filling of the Renaissance Dam," Prime Minister Abiy Ahmed said on X, formerly Twitter.
"There was a lot of challenge. We were many times dragged to go backwards. We had an internal challenge and external pressure. We've reached (this stage) by coping together with God," Abiy said.
"I believe that we will finish what we have planned next," he said.
The Ethiopian government’s communications service said on X that the dam, arguably the largest in Africa, was "a gift to generations”.
"Today's heroic generation will build tomorrow's strong Ethiopia on a solid foundation," it continued.
At full capacity, the huge hydroelectric dam -- 1.8 kilometres long and 145 metres high -- could generate more than 5,000 megawatts.
That would double Ethiopia’s production of electricity, to which only half the country’s population of 120 million currently has access.
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