The bill calls for setting up a committee to study the issue and provide a report within six months before legal action is launched against the US government in an international court.
Of 196 lawmakers attending today's session of parliament, 167 voted in favor of the bill while five opposed it. The session was broadcast live on state radio.
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New declassified documents offer more details of how the CIA orchestrated the overthrow of Prime Minister Mohammed Mossadegh 60 years ago.
The coup restored the despotic regime of Shah Mohammad Reza Pahlavi. He was overthrown in the 1979 Iranian revolution.