"Police have been monitoring the situation at the mine throughout Tuesday night," Captain Dennis Adriao said.
"We have not received any reports of violence or deaths."
Violence had erupted when thousands of Lonmin rock drill operators started an illegal work stoppage and protest march on Friday.
A tenth body was discovered at the mine on Tuesday.
A Sapa reporter who was on the scene said the body was lying face upwards 100m away from a hilltop where workers gathered earlier on Tuesday.
The man was wearing khaki clothes.
Nine other people - two police officers, two security guards, three protesters and two other men - have been killed in the violent protests since Friday.
Adriao said no arrests have been made yet.
Police would be in a position to give a more detailed update later on Wednesday morning, he said.
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