"We will take the measures required of us and the other side will do its part," Zarif said. "It will take around four months," he added.
Under the deal reached on Tuesday in Vienna, Iran agreed to limit its controversial nuclear programme in exchange for the lifting of crippling international sanctions.
The final round of talks in Vienna involved nearly three weeks of intense negotiation between US Secretary of State John Kerry and Zarif.
Sanctions will be lifted once the UN atomic watchdog the International Atomic Energy Agency (IAEA) vouches that Iran has implemented the Vienna deal and scaled back its sensitive nuclear activity.
Billions of dollars of Iran's assets will be unfrozen when the deal starts to be implemented, Iran's state news agency IRNA reported on Tuesday.
Under the deal, bans or restrictions on economic cooperations with Iran will be lifted in all sectors including investment on oil and gas, aviation, the central bank, shipping and civil aviation, IRNA said.
Six world powers including Britain, China, France, Russia and the US plus Germany have been negotiating with Iran over its nuclear programme since 2006.