The two rescued miners were taken to a hospital in Jastrzebie-Zdroj city in "relatively good condition" and could walk unaided, Ozon told reporters on Saturday.
Two of the seven miners originally trapped after the quake, which struck Zofiowka in the Silesian coal basin on Saturday morning, managed to escape within hours with only minor injuries. It was not clear if the miner was dead or alive.
Prime Minister Mateusz Morawiecki and President Andrzej Duda travelled to the town, visiting the hospitalized miners and meeting with their families and some of the rescuers.
By late afternoon two of the seven trapped miners were rescued, hurt but conscious. He said there had been no contact with the remaining four miners.
Emergency vehicle parks outside the Jastrzebie Coal Company mine where coal miners are missing underground after a strong quake hit a mine in Jastrzebie Zdroj, Poland, on Saturday.
Rescuers battled in the early hours of Sunday to reach four coal miners who remained trapped almost one kilometre (0.6 mile) underground in southern Poland after an quake.
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The first victim, initially identified by Ozon as a 38-year-old man, had been trapped under some metal.
Daniel Ozon, head of the Jastrzebie Coal Co., said they could see the third miner and had contact with him, but they still needed to reach him.
Prime Minister Mateusz Morawiecki, who reached the mine on Saturday evening, said the rescue operation was very hard and that he hoped the remaining miners would be saved.
The rescue effort was launched at 11:25 a.m.
A woman cries outside the Zofiowka coal mine in Jastrzebie-Zdroj in southern Poland, where several miners were reported missing following a powerful quake, May 5, 2018.
An ambulance arrives in southern Poland following a natural disaster at the Zofiowka coal mind in Jastrzebie-Zdroj.