Oleksandr Marchenko also told the BBC the remaining 4,000 civilians are living in shelters without access to gas, electricity or water.
Mr Marchenko said "not a single building" had remained untouched and that the city is "almost destroyed".
Bakhmut has seen months of fighting, as Russia tries to take charge. วิจารณ์มวยวันนี้
"There is fighting near the city and there are also street fights," Mr Marchenko said.