In a live televised address, Rouhani also said a final agreement would depend on both sides living up to their commitments.
"If the other side honours its promises, we will honour our promises," he said a day after Iran and the P5+1 group of nations led by the United States clinched a tentative framework for a nuclear deal.
"The world should know we are not about deceit and hypocrisy," he said, but noted: "If one day they want to choose a different path, that choice would also be open to us."
"In the framework that we have before us we can see that this government's approach was effective," he said, thanking supreme leader Ayatollah Ali Khamenei for his guidance in the nuclear talks.
Arguing that Iran wanted to improve its ties with all countries, Rouhani said: "With the countries that we have tensions or even hostility with, we seek the end of tensions and hostilities.
"New cooperation with the world -- both in the nuclear sphere and other areas -- will open a new page."
Calling for "mutual respect, common interests and the reaching of shared goals", Rouhani said Iran wanted a "balanced agreement" on the nuclear issue.
"Some think we should either fight with the world or give in to the global powers," he said, calling instead for a "third way" of engaging internationally.
"We can cooperate with the world," he added.
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