She was photographed smiling and cheering on Rodriguez, whom she first met at a bash in November, sources tell Usmagazine.com.
"He was a charmer, working it with Kate," says an insider.
Can you spot Kate Hudson's baby photo in this gallery?
Since then, they've gotten hot: The two hit up NYC's Mustang Grill after a May 15 Yankees home game and "hooked up," says another source.
See Kate Hudson and other hot moms in bikinis
Hudson even joined Rodriguez in Dallas, where the Yankees played the Texas Rangers in a three-game series, late last month.
See Kate Hudson and other stars' fashion hits and misses at this year's MET Gala!
Us Weekly reports in its latest issue that she bunked in the "rock star" suite at Dallas’ Hotel ZaZa with Rodriguez and her son Ryder, 5.
See photos of Ryder and other celeb kids who need haircuts
Tell Us: Do you think Kate and Alex will last?
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Kate Hudson is reportedly dating Alex Rodriguez...thoughts?
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