The world-famous actor - who lives close to where the argument took place - was reportedly arrested by officers at the scene.
The alleged incident took place shortly after Alec hailed the "capable mothers" who are helping to raise his daughters.
Alec - who has Ireland, 23, with his ex-wife Kim Basinger and Carmen, five, with his second wife Hilaria Baldwin - explained that young females need good role models and support from the same gender to guide them through life.
He explained: "I'm grateful that both daughters I have - from two different marriages - have very capable mothers. Because the mother is the one who is going to teach the girl, I think, how to get around in the world."
The 'Departed' actor recalled one particular conversation he previously had with his eldest daughter about the potential pitfalls of dating.
Alec - who also has sons Rafael, three, Leonardo, two, and five-month-old Romeo with Hilaria - admitted that Ireland took no notice of his advice.
He shared: "We're in a car and ... I thought, 'This is the moment. It's the birds and the bees or kind of, you know, the birds and bees and the drinking in a bar with the birds and the bees moment.'
"And she just stared out the window, like, 'Oh, please, don't talk to me about this.'"
