Details of the bill were put to the vote in an open session of the parliament this morning and were passed with 213 votes in favor out of a total of 244.
The generalities of the bill had been passed with the support of a majority of the parliamentarians on Sunday.
According to the bill, Iran's administration will be obliged to observe a series of requirements in a possible final nuclear deal with the Group 5+1 (Russia, China, the US, Britain, France and Germany).
The bill stipulates that results of the nuclear talks will be acceptable only if the final deal entails the removal of the whole anti-Iran sanctions, all at once, on the very day when the deal will take effect.
It also stresses that the International Atomic Energy Agency (IAEA) will be allowed to conduct only "standard monitoring activities" within the framework of the Safeguards Agreements when it comes to Iran's nuclear sites.
The motion also rules out any access to Iran's military, security or sensitive non-nuclear centers and dismisses any restriction on Iran's acquisition of nuclear know-how for peaceful purposes or research and development (R&D) in the nuclear field.
It also bans any access to the country’s nuclear documents or scientists.
The move by the Iranian parliament came as Tehran and the six powers are negotiating to hammer out a lasting accord that would end more than a decade of impasse over Tehran's civilian nuclear program.
On April 2, the two sides reached a framework nuclear agreement in Lausanne, Switzerland, with both sides committed to push for a final deal until the end of June.