Parker and fiancee Axelle Francine welcomed their first child early Wednesday morning, according to the San Antonio Express-News.
The birth came hours before the Spurs were to play the Dallas Mavericks in Game 5 of their first-round series, which is tied at two games apiece.
Parker started Wednesday night despite nursing a Grade 1 sprained left ankle sustained in the first half of Game 4.
Struggling offensively throughout much of the series, perhaps Parker can have a resurgence like Manu Ginobili has following the recent birth of his third son.
Ginobili welcomed his third child, Luca, on April 21.