Rao Liangzhong of the Shenzhen Emergency Response Office said that man, Tian Zeming, was rescued around dawn on Wednesday. He said Tian was from Chongqing in southwestern China. No other details were immediately known.
More than 70 people are still missing from the landslide that happened Sunday when a mountain of construction waste material and mud collapsed and flowed into an industrial park in Shenzhen.
The Ministry of Land and Resources has said a steep man-made mountain of dirt, cement chunks and other construction waste had been piled up against a 100-meter (330-foot) -high hill over the past two years.
Heavy rains saturated the soil, making it heavy and unstable, and ultimately causing it to collapse with massive force in and around an industrial park.
State media reported that the New Guangming District government identified problems with the mountain of soil months earlier.
The Legal Evening News said a district government report in January found that the dump had received 1 million cubic meters of waste and warned of a "catastrophe."
Under pressure from the media, officials allowed about 30 journalists, mostly from foreign outlets, to approach an edge of the disaster area. Flanked by police, reporters could observe military posts with computers and disease control stations set up for the rescue workers.
Shenzhen is a major manufacturing center, making everything from cellphones to cars, and it attracts workers from all parts of China.