A close vote is likely on Thursday and if it passes, the measure would go to the Senate. President Mauricio Macri says he opposes abortion, but would not veto the bill.
If passed, the bill would then go before the Senate, where it faces an uphill battle to become law. The new bill would decriminalise abortion during the first 14 weeks of pregnancy, and even afterwards conditionally.
Final results showed more than 66 percent of voters in what has been a traditionally staunchly Catholic country backed repealing the constitutional ban on terminations since 1983.
Many Irish expats are returning home to vote in Friday's referendum on whether to repeal Ireland's strict anti-abortion law.
Ireland will vote to repeal the Eighth Amendment of the constitution which recognises the equal right to life of the unborn and the mother. An abortion can only take place in case the life of the mother is at risk.
The proposed legislation would still allow abortions in cases where the mother's life is at risk or the pregnancy results from a crime. But it would ban abortions of irreparably sick or impaired foetuses and those with Down syndrome.
Abortion is a divisive issue in Ireland, where the once all-pervasive political influence of the Roman Catholic church has lessened in the past 20 years.
Unwanted pregnancies could drop from 89 million a year to 22 million if women in poor countries had access to contraceptives, according to a Guttmacher Institute report.
The ship provides medical abortions to women in countries where the procedure is banned.
It is currently a crime to abort a child in the Republic of Ireland, which has decided to hold a referendum on the issue for the third time in more than three decades.
Reproductive health officials say they received over $300,000 in aid from the US in 2016 to support their work. But unless other countries, like the Netherlands, step in, millions of women will be without essential family planning services.
Massive protests by thousands of women force Poland's right-wing dominated parliament to withdraw its support for plans to ban abortion.
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