On condition that Iran respects the agreement to the letter, seven UN resolutions passed since 2006 to sanction Iran will be gradually terminated, according to the resolution's text.
"The draft resolution has been adopted unanimously," Gerard van Bohemen, ambassador of New Zealand, which holds the current presidency of the Security Council, announced after Monday's vote.
Reports said the security council had spoken even though US congress had yet to even take a look at the deal.
On condition that Iran respects the agreement to the letter, seven UN resolutions passed since 2006 to sanction Iran will be gradually terminated, according to the text.
The agreement with Iran was reached last Tuesday in Vienna, Austria, by the Security Council's five permanent members - Britain, China, France, Russia and the US plus Germany.
The text launches a progressive and conditional lifting of sanctions, in exchange for guarantees that Iran will not develop a nuclear bomb.
The resolution calls for "full implementation on the timetable established" of the agreement reached in Vienna and urges UN member countries to facilitate the process.
The Security Council charges the UN nuclear watchdog, the International Atomic Energy Agency, to "undertake the necessary verification and monitoring of Iran's nuclear commitments".
Source: AP, Al Jazeera