The Northern Alliance claims to have captured the city of Kunduz after a 12-day siege.
A Northern Alliance commander, Mohammed Daoud, claimed his forces had taken the city.
"All of Kunduz is in our control," he said by satellite telephone.
He said Taliban forces were in retreat toward Chardara, west of Kunduz, and Northern Alliance troops were pursuing them.
Northern Alliance commander General Atta Mohammed confirmed troops moved into the city from its western edge when they met no resistance.
"Some of our brothers have moved in, but slowly, slowly. We want to do these things peacefully," he said. "Let them surrender, hand over their arms. We don't want fighting."
The top Taliban commander Noorallah Noori is among the thousands of Taliban fighters who have have surrendered peacefully, the Alliance claimed.
Another top Alliance commander, General Rashid Dostum, is also at Arganak, the staging point for the surrender and the site where the surrender accord was sealed, General Mohammed said.
He added that the former Taliban deputy defence minister, Mullah Faizil, is overseeing surrender operations inside the city.
AP