"Nobody lost, everyone ends up winning," Russian news agencies quoted him as saying after marathon talks in Geneva yielded a landmark accord in which Iran agrees to curbs on its nuclear programme in return for limited sanctions relief.
Lavrov said the agreement allowed for wider inspections by the International Atomic Energy Agency (IAEA), fostered much-needed trust in the Middle East and assuaged fears of nuclear proliferation.
"Now it will be very difficult to go around the facts determined by the IAEA. We are convinced that Iran will cooperate with the agency in good faith," he told Russian journalists.
He commended the decision to ease Western sanctions in that period. "We didn't recognise these unilateral sanctions, so it is correct to start easing pressure on Iran by removing unilateral sanctions," he said.
Lavrov praised Iran's new President Hassan Rouhani for his serious intentions that made the agreement possible.
"With the arrival of the new president to power in Iran we have felt that declarations about the desire to resolve this issue have serious foundations," Lavrov said.
"I don't know why they need (the civilian nuclear programme), they have gas and oil coming out of their ears," said Netanyahu, who came for talks with President Vladimir Putin in Moscow last week. He added in the interview that he is convinced that Iran "will cheat" on any agreement.
The Russian foreign ministry in a statement on Sunday said that "common sense prevailed" in the negotiations, and the deal will make the whole region safer.
"Group of 'Six' and Iran did it!" the foreign ministry said in an unusually enthusiastic tweet.
"The world did not miss its chance," it said, calling the deal "historic".
