The trapped workers were not responding to attempts to contact or locate them, he said.
A fall of ground occurred at the mine's Masakhane section which at first left 13 employees accounted for.
Cosatu said it was "alarmed by the deteriorating and poor safety record of Sibanye Stillwater mining company". The Department of Mineral Resources and all unions have been notified and are on site to assist with the rescue efforts.
According to an update by the National Union of Mineworkers Friday, one of the deceased was a NUM member.
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"In late March, NUM said data showed that almost a third of fatalities in the mining industry since January had occurred at Sibanye Stillwater mines".
Minister of mineral resources Gwede Mantashe extended his condolences to the families and friends of the workers who lost their lives at the Driefontein operations. "This suggests that greater attention be paid to issues of safety, particularly the protection of the lives of workers, as opposed to the insistence of chasing production".
Mine operator Sibanye-Stillwater said on Friday that 10 of 13 miners trapped underground at its South African gold mine were rescued but four of the 10 have died from their injuries. "At our South African PGM operations two employees were fatally injured in two separate incidents", it said. The fourth fatality was not specified. The company also produces platinum and has operations in the United States.