Syria's state news agency said rebels from the al-Qaida-linked Jabhat al-Nusra group blew it up, while Aleppo-based activist Mohammed al-Khatib said a Syrian army tank fired a shell that "totally destroyed" the minaret.
The mosque fell into rebel hands earlier this year after heavy fighting but the area around the compound remains contested, with Syrian troops just some 200 yards (meters) away.
An amateur video posted online by the anti-government Aleppo Media Center showed the mosque's vaulted archways charred from earlier fighting and a pile of rubble where the minaret used to be.
Standing inside the mosque courtyard, a man who appeared to be a rebel fighter, said regime forces recently fired seven shells at the minaret but failed to knock it down. On Wednesday, the tank rounds struck their target, he said.
"We were standing here today and suddenly shells started hitting the minaret," the man said. The army "then tried to storm the mosque but we pushed them back."