James Wellsted said all operations at the area where the two bodies were recovered have been suspended.
Earlier, Wellsted told journalists that there had been a seismic incident in the morning at the mine, causing the ground fall which led to the fatal accident.
Last week some 955 miners were trapped at a Sibanye-Stillwater gold mine in the town of Welkom following an electric cable outage during a storm.
Two 132 Kv lines supplying mines with power in the Welkom area collapsed due to a severe storm, leaving mines in the area without electricity supply.
All the miners were brought up to safety after being trapped for nearly 24 hours.