May said Britain and Japan will work together on stepping up the pace of sanctions against nuclear-armed North Korea after its "outrageous" firing of a missile over Japan.
"Prime Minister Abe and I have agreed to work together, and with others in the worldwide community, to strengthen pressure against North Korea, including by increasing the pace of sanctions implementation", May told a joint news conference with Prime Minister Shinzo Abe on Thursday.
"It is a pity that some countries selectively ignore the requirements for dialogue in the resolutions - they only emphasise sanctions", she told a regular press briefing, adding "these words and deeds play a destructive role instead of a constructive role in solving the Korean Peninsula nuclear issue".
British Prime Minister Theresa May is visiting Japan this week in a bid to boost investment in the wake of Brexit.
British Prime Minister Theresa May has visited a Japanese warship ahead of a summit with her Japanese counterpart.
Abe called the missile launch an "unprecedented" threat to his country, while the UN Security Council unanimously condemned North Korea for its actions.
"From our perspective, we are willing to continue to work with our global partners to keep the pressure on North Korea".
May called on China to put more pressure on North Korea after she arrived in Japan on Wednesday.
Redskins place Su'a Cravens on exempt/left squad list
I'm not in those shoes, so I can't speak on him, so whatever he's dealing with I'm praying for him and hopefully he'll be back. According to Pro Football Focus, Cravens allowed zero touchdowns and a 73.1 passer rating when in coverage.
With tensions surging, Moscow urged Washington not to use force against North Korea and also said attempts to toughen sanctions would be counterproductive.
Britain voted to leave the European Union in June 2016, and triggered the formal two-year exit process in March.
Labour now says it would keep the United Kingdom in the EU single market and customs union for a transitional period after Brexit.
"I very much welcome the commitment from Japanese companies such as Nissan, Toyota, Softbank and Hitachi", May said.
"For as we become a global Britain, a European nation still, but one that is outside the EU, so we will be free to engage more actively and independently, particularly in key Asian markets like Japan".
Formal discussions are scheduled for later on Thursday, after which the leaders will hold a news conference.
Before meeting Abe, May reiterated her intention to kick-start post-Brexit trade by replicating existing deals signed by the European Union, to be amended later as needed, saying this would provide confidence for businesses.
Japan has been unusually open about its concerns over Brexit, worrying that 40 billion pounds ($51.68 billion) of Japanese investment in the British economy could suffer if trading conditions change abruptly when Britain leaves the bloc.
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