The parties also discussed the Paris Agreement on climate change with Abe vowing to do his utmost to ensure that Japan joins the treaty.
Ban highly appreciated Japan's participation in the UN peacekeeping missions.
The meeting was carried out on the sidelines of the UN General Assembly in New York. The North Korean issue was high on the agenda of the meetings with Japanese officials participation on Tuesday.
Japanese Foreign Minister Fumio Kishida took part in the meeting of the Group of Seven (G7) top diplomats, who stressed their determination to take further measures in response to the North Korean “provocations.”
On September 9, Pyongyang carried out a nuclear test at its northeastern nuclear test site. The nuclear experiment is believed to be the fifth and the largest since North Korea started pursuing nuclear and ballistic missile programs, drawing condemnation from the international community.