According to reports, the baby was born as the result of a fling with an American woman, who has been paid to stay anonymous.
The footballer became a father two days after playing against the Ivory Coast in the World Cup and four days before he helped Portugal beat North Korea 7-0.
She said her brother will reveal his son's name 'when he returns from Madrid', where he is said to be working.
State television channel RTP claimed the boy will be called Ronaldo Junior.
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