In a statement, the army said it had "returned security to Aleppo" and called it a "crushing blow" for rebels.
The International Committee of the Red Cross (ICRC) confirmed "all civilians who wished to be evacuated have been, as well as the wounded and fighters".
This is the biggest victory for President Bashar al-Assad since the uprising against him began in 2011.
At least 34,000 civilians and rebel fighters have been removed from eastern Aleppo over the past week, a UN official said earlier.
