Zimbabwe and Iran share close ties as both countries have been at the receiving end of illegal United States sanctions.
Meeting with Mogherini before the ceremony in parliament, Rouhani called for greater efforts to uphold the 2015 nuclear deal struck by Tehran and world powers in the face of new U.S. sanctions passed last week.
Standing before Iranian lawmakers and foreign dignitaries, Iranian President Hassan Rouhani took the oath of office on Saturday, starting his second leadership term.
"We will never accept isolation", Rouhani told a packed audience of Iranian political and military officials in Tehran.
Speaking following his swearing-in ceremony, Rouhani criticized the United States for threatening the implementation of the nuclear deal.More news: Trump to back plan that would curb legal immigration
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"Repeated breaches of commitments by the U.S. administration. can be destructive", he said, quoted by the official IRNA news agency. "The world should know that any abrogation pertaining to the agreement would face the unanimous reaction of the nation and the government of Iran".
The deal put an end to the "oppressive" sanctions by the West against Iran, he said. Among them was EU's foreign policy chief Federica Mogherini, who coordinates follow-up of Iran's nuclear deal.
The new parliament will also vote on a bill boosting financial support to the Revolutionary Guards and the country's missile programme, which are targeted by the sanctions.
The Iran component ramps up sanctions for that country's missile testing, human rights abuses and backing of terrorism, and further restricts the president's ability to waive the sanctions.
He gained 57.14% of the votes. Trump also recently signed a new package of sanctions against Iran.
Rouhani said: "We can not remain silent about the thing which is apparently damaging our environment such as the establishment of several dams in Afghanistan like Kajaki, Kamal Khan and Salma in the north and south of Afghanistan".
Among Iranians, the real attention was on who would be named to Rouhani's new cabinet.