The house bill, which was passed by 70 votes to 39, will introduce new rules and insurance requirements for abortion providers, make it an offence to force a woman to have an abortion, and regulate the disposal of foetal remains.
It is part of a package of proposed legislation that has been described by critics as one of the most hardline recent attempts at passing anti-abortion legislation in the US.
Brown, who has three children, said that the bill's proposals ran contrary to her Jewish beliefs. But it was the manner in which how she concluded her speech: on Wednesday that infuriated Republicans.
"Mr Speaker, I'm flattered that you're all so interested in my vagina, but 'no' means 'no,'" she said.
Her use of the word "vagina" led house Republicans to prohibit her from speaking on school employee retirement bill.
According to the Detroit News, the majority floor leader, Jim Stamas, ruled that Brown's comments had violated the decorum of the house.
Another Republican, Nashville, MI, representative Mike Callton, added: "What she said was offensive. It was so offensive I don't even want to say it in front of women. I would not say that in mixed company."
Brown expressed her incredulity at the ban at a quickly arranged press conference. "If I can't say the word vagina, why are we legislating [on] vaginas?" she asked. "What language should I use?"
To clear up any lingering confusion, she noted that vagina was the "medically correct term", adding: "We're all adults here."
Barb Byrum, the a fellow Democratic state representative for Onondaga, also caused a disturbance on the floor of the house after Republicans refused to allow her to introduce an amendment to the bill that would ban men having vasectomies unless the procedure was needed to save their lives – a key clause of the anti-abortion bill. She was ruled out of order after protesting that she had not been allowed to speak on her proposal.
"If we truly want to make sure children are born, we would regulate vasectomies," Byrum told reporters.
On Thursday, Ari Adler, a spokesman for the Republican speaker of the house, said Brown and Byrum would not be allowed to speak on the floor of the house that day because of their conduct on Wednesday.
Their "comments and actions", he said, had "failed to maintain the decorum of the house of representatives".
"Both Representative Byrum and I were gavelled down without cause yesterday while voicing our opposition to the Republican's war on women here in Michigan," Brown told the Detroit Free Press. "Regardless of their reasoning, this is a violation of my First Amendment rights and directly impedes my ability to serve the people who elected me into office."
Byrum said she had been ignored and prevented from speaking on an amendment that would hold men and women to the same reproductive standards.
"Now I am being silenced for standing up for women," she said. "This is yet another example of this Republican majority's misogynistic and cowardly tactics."
The package of bills as a whole aims to introduce tough new insurance and licensing requirements for clinics and ban abortions that take place more than 20 weeks after conception, except for when it might save a woman's life. It also wants to regulate the use of the abortion pill mifepristone and set new guidelines for the disposal of a foetus.
Critics of the proposed legislation say it is an assault on women's rights and could endanger women by making abortions harder to get in Michigan.
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