The video has been seen thousands of times on social media.
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Angelica DiMarco said the man yelled a derogatory comment at her 4-year-old son, who is developmentally disabled.
It happened at a game Tuesday night.
Her son, Luciano, wears a helmet, has sensory issues and doesn't understand social cues.
His mother says that's why he may have acted out at the game.
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"He may have kicked a fan's seat that was sitting in front of us, with excitement," DiMarco said. "We asked for a place for him to go. We were told if we leave the stadium, we can't come back."
On the Yankees web site, it says foul or abusive language is prohibited at Yankee games.
DiMarco said until she hears back from the Yankees, she won't attend any more games.