May also strongly condemned the launch.Japan's foreign ministry said the two leaders are expected to agree on the importance of China's role in ramping up pressure on North Korea.BREXIT EFFECTJapan has been unusually outspoken about its concerns that Britain's departure from the European Union, which was decided by a public vote in 2016, could affect current and future Japanese investments in Britain.Britain is the second most important destination for Japanese investment after the United States, with firms like Nissan, Toyota and Hitachi investing billions in carmaking, energy and transport. "I think what Mr Abe wants to hear from the Prime Minister is where she hopes to land on Brexit".
"We condemn North Korea in the strongest words possible for a reckless act which was a clear violation of United Nations Security Council resolutions", May told a press briefing during an official visit to Japan.
"There's obviously a number of trade deals that the European Union has with other countries, and we are looking at the possibility of those being able to be brought over into, certainly initially, trade deals with the United Kingdom", May told reporters on her way to Japan for meetings with Prime Minister Shinzo Abe.
"With the participation of Theresa, I will look forward to having a discussion on the way forward of how we can strongly and aggressively advance our security cooperation", he added.
This week Pyongyang for the first time flew a ballistic missile created to carry a nuclear payload over Japan.
May described Japan as "the UK's closest security partner in Asia" and a "like-minded partner". May joined her Japanese counterpart Shinzo Abe at a traditional tea ceremony in Kyoto, the ancient Japanese capital, and was due to have dinner with him.
The post-Brexit trading relationship between the United Kingdom and Japan will also be a central aspect of the visit, with Mrs May looking for a bilateral free trade deal based on the one now being negotiated between Japan and the EU.
More than 1,000 Japanese companies do business in Britain, employing some 140,000 local people with many using Britain as a staging post to do business in Europe.
President Moon said the missile launch through Japanese airspace went beyond a provocation and was an "outrageous violence" against a neighboring country.
"Prime Minister Abe is only saying the same as senior USA negotiators: get your house in order with the EU".