The visit may take place as early as mid-July as part of the Japanese premier's tour of the Middle East and Europe, Kyodo news agency reported, noting that the itinerary will be announced soon.
"If realized, it will be the first trip to Iran by a sitting Japanese prime minister since Takeo Fukuda visited the country in 1978," the news agency said.
Abe is expected to meet with Iranian President Hassan Rouhani and assure him of Tokyo's continued support for the Iran nuclear deal despite US President Donald Trump’s withdrawal from the landmark multinational agreement on May 8, it said.
Strengthening economic ties with Iran, which sits on major oil and gas resources, is high on the agenda of the Japanese leader’s visit.
Iran is Japan's third-largest energy supplier after Saudi Arabia and the United Arab Emirates. The annual trade volume between the two countries stands at more than $11 billion.