The bill must still be reviewed by a group of senior clerics, but President Hassan Rouhani's administration is hailing lawmakers' vote as a "historic decision."
The meeting signals a possible smoothing of relations between the heads of state after the Israeli prime minister's critical remarks about President Obama's plan to reach a nuclear deal with Iran.
The restart of a reactor that produces weapons-grade plutonium was announced by the Korean Central News Agency, which also says North Korea is ready to use nuclear weapons "any time."