It is a measure the Algerian opposition claims is aimed at letting the country’s president stay in office for life.
The upper and lower houses of parliament have voted overwhelmingly to scrap a rule that limits presidents to two terms in office.
71-year-old Abdelaziz Bouteflika has not yet said whether he wants to stand again, but he is widely expected to do so when his second mandate expires in April next year.
The opposition walked out of parliament in protest when the law change was voted in. Bouteflika’s coalition has majorities in both chambers.
Supporters of the president maintain the change is designed to boost democracy and the smooth running of government.
Bouteflika rejected calls to hold a referendum on the issue, arguing the changes will not altar the basic system of political power.
Over the past decade some eight African nations have lifted limits on presidential terms.