The bill was approved 92-78, McMichen said.
Gov. Brian Kemp, a Republican, supports the legislation and should sign it.
"Georgia appreciates life, we stand up for the innocent and speak for those who can not speak for themselves, the bold action of the legislature reaffirms our priorities and who we are. I thank these legislators for their guidance and I welcome them undeniable courage, "tweeted Kemp.
"An abortion is not allowed or performed when it is determined that the unborn child has a human heartbeat," states the bill, unless the case is pregnant or dangerous The bill's author, Republican Ed Setzler, said Republicans said abortion is a "barbaric trial" and many other options for women, including adoption and the "pill thereafter."
The American Civil Liberties Union said it would go to court if Kemp signs the bill. She said the legislation would "ban safe, legal abortion and penalize the most intimate decisions that women and couples make."
The State Senate approved the bill last Friday and sent back a version with amendments to Parliament.
However, they are often held in committees, rejected in parliamentary votes, rejected by governors and beaten down in court. No state was able to put a heartbeat law into practice on a permanent basis.
The Georgian legislation has resisted.
The Democrats of Georgia have spoken out against the law and several lawmakers came to House Bleach with wire-rope trailers, a clue to the dangerous measures that women have taken for self-induced abortions. They said Friday they would campaign for the recruitment of political candidates to challenge Republicans who supported the legislation.
"By banning abortion, Republicans have shown they can not be trusted to make decisions for Georgian women, the health care system of Georgia, or Georgia's economy," said Nikema Williams, chairman of the Democratic Party of Georgia. "We can not afford to continue misleading our state."
Stacey Abrams, former Democratic governor candidate, said Friday she learned that some Republicans and business leaders have dismissed the effects of the law as "irrelevant." "
" There is no leadership in condemning women, nor another test of our humanity. # HB481 is bad for women. Reproductive injustice is real. It's bad for companies that will not forget women a spot on a state that once knows how to clear the way. #Shame, "said Abrams in a tweet.
Actress Alyssa Milano resolutely opposes legislation and has called on the film and TV industry, which shoots many projects in Georgia, to leave the state if the bill is filed in She uses a hashtag on Twitter stating # HB481IsBad ForBusiness.
"There are over 20 productions being shot in GA, and the state has just voted to withdraw women from their physical autonomy," she said in a tweet on March 22. "Hollywood! We should stop feeding GA economy. "
The Writers Guild of America, East and West, had condemned HB481 and said it would make" Georgia an inhospitable place "for the film and television industry.  If the bill becomes law, "it's quite possible that many in our industry either want to leave the state or decide not to bring any productions here," said the Writers Guild.
CNN's Nicole Chavez, Dave Alsup, Madison Park and Jessica Ravitz contributed to this report