Cheers erupted from the spectators' gallery as legislators narrowly voted on Tuesday to scrap controversial Article 308.
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The vote came after an emotional debate in which some lawmakers argued that an amended version of the clause was needed to protect rape victims against social stigma by giving them the marriage option.
Women who are raped in Jordan often face a lot of stigma from family members and their communities, accused of bringing "dishonour" to their families.
In extreme cases women could be murdered as a result in so-called honour crimes.
Lawmakers on Sunday closed a legal loophole that allowed judges to impose light sentences for "honour crimes", where previously some killers had served as little as six months in prison.
Tuesday's decision must still be approved by parliament's appointed upper house, or Senate, and by King Abdullah II.
Jordan joins Tunisia, Morocco and Egypt which have cancelled "marry the victim" clauses over the years.
Lebanon's parliament is also considering repealing such a provision.
