Prime Minister Enda Kenny and his coalition government pushed through the protection of life in pregnancy bill, which will allow for abortions only when a woman's life is under threat if her pregnancy continues or if she is suicidal.
The bill was voted through early morning, shortly before 12:30 am (local time), by 127 to 31 against after marathon discussions on 165 amendments.
An inquest into 31-year-old Savita's death earlier this year was told that a timely abortion may have saved her life.
Doctors had denied her pleas for an abortion, even though her uterus had ruptured, because the 17-week-old foetus still had a heartbeat. By the time it stopped, Halappanavar had already contracted lethal septicaemia or blood poisoning, investigations into her death later revealed.
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Pro-choice and anti-abortion groups have already threatened court cases to challenge the new law, The Guardian reported.
Opponents said the bill, which still needs the Upper House's approval, could lead to more widespread abortions.
Others argue the bill is too limited as it does not allow for terminations in cases of rape or incest, or when there is a foetal abnormality. Nor does it allow for termination when the foetus cannot survive outside the womb.
Anti-abortion campaigners have argued that the bill will allow the intentional killing of the unborn for the first time in the Republic of Ireland.