Bloomberg and his company have been repeatedly accused by women of discrimination and abusive language.
The message comes after Senator Elizabeth Warren in the recent Democratic debate pushed Bloomberg over the monks.
During the debate, which took place in Las Vegas last Wednesday, several of his rivals attacked - not least Warren.
- I'll tell you who we are competing against - a billionaire who calls women for thick women's timber and lesbians with horse faces. No, I'm not talking about Donald Trump, I'm talking about Mayor Bloomberg, she said.