Johannesburg - Violence flared up again in the strike-hit platinum belt in Rustenburg in the North West on Tuesday, the premier said.
A couple woke up to gunshots being fired at their house and the man's car was set alight.
Another man found dead animals on his doorstep.
“We condemn in the strongest terms the senseless violence which does not advance the cause for which miners are on strike but deepens rivalry and intolerance,” premier Thandi Modise said in a statement.
She said a 47-year-old miner's car was torched in Thekwane outside Rustenburg in the early hours of Tuesday morning.
“It is alleged that the miner and his wife, both of whom are employed at Siphumelele One shaft, were awoken by several gunshots just after midnight.
“According to police, the car belonging to the man who is reportedly a member of the National Union of Mineworkers (NUM) while his wife is a member of the Worker's Association Union (WAU) was partially burned during the incident,” said Modise.
On Sunday night, another WAU member received a phone call warning him not to encourage other workers to go back to work.
“The man reportedly found a dead dog and a dead cat on his doorstep in the morning at around 5.30am,” said the statement.
The premier called on police to leave no stone unturned until those responsible for the terror campaign and senseless violence were behind bars.
She also urged those involved in the strike to find an urgent solution to end the protracted strike as its impact on the economy and the lives of miners was devastating.
Members of Association of Mineworkers and Construction Union (Amcu) at Lonmin, Impala Platinum, and Anglo American Platinum in Rustenburg and Northam in Limpopo went on strike on January 23 demanding a minimum salary of R12,500 per month.
They rejected the companies' wage increase offer of nine percent. - Sapa