The leaders of Japan and the US are continuing talks on a number of pressing matters like North Korea. Afterwards, President Donald Trump is set to meet with the families of Japanese nationals abducted by the North decades ago.
They hope he can help bring their loved ones home.
Earlier, Prime Minister Abe and Trump highlighted the strength of their countries' alliance.
Japan's Prime Minister Shinzo Abe is considering a visit to Iran, apparently to ease tensions between the country and the United States. Such a visit would be the first by a Japanese prime minister since 1978.
Informed sources say Abe is thinking of making the visit in mid-June at the earliest, to meet Iranian President Hassan Rouhani. Abe is expected to make a final decision after meeting US President Donald Trump in Tokyo on Monday.
The Japanese and Iranian foreign ministers met on Thursday to discuss the growing tensions in the Persian Gulf.
Japanese Foreign Minister Taro Kono told his Iranian counterpart Javad Zarif that to maintain stability in the region, Iran needs to comply with the 2015 nuclear deal signed with major world powers.
Japanese Chief Cabinet Secretary Yoshihide Suga says Japan is continuing discussions with the United States over its demand that Japan stop importing crude oil from Iran.
Suga made the remark at a news conference on Wednesday. He said the government is carefully studying how the US demand would affect Japan. He said it will continue to discuss the matter with the United States and other nations concerned to avoid an adverse impact on Japanese businesses.