Speaking before the tea ceremony, which was followed by a dinner and talks with Abe, May said this model could be used to speed up post-Brexit trade arrangements with other countries.
Her comments come after a North Korean missile was sacked over north Japan, before crashing into the sea.
When the British prime minister was asked if she could back or be involved in military action to counter attack North Korea, she reiterated that it must be a joint action with China at the center.
British Prime Minister Theresa May sought to reassure Japanese business leaders about Brexit on Thursday, saying she is laying the foundation to take the bilateral trade and investment relationship to "a whole new level" as the United Kingdom leaves the European Union.
Protesters rally outside Trump buildings to save Dreamer program
Also, federal Immigration and Customs Enforcement already audits businesses to find illegal workers by combing through I-9 forms. Many came to the U.S.as young children and have no memories of or connection to the countries they were born in.
Japan's Prime Minister Shinzo Abe called it an "unprecedented" threat to his country, while US President Donald Trump said it was an act of "contempt". "What we're doing is working with our global partners", she said.
"My visit today is a sign of the growing cooperation and partnership that we have on defense matters", May said in comments broadcast on Japanese TV.
She added: "What I set out in my Lancaster House speech is you can't be a member of the single market without being a member of the European Union, and we are leaving the European Union".
He told Abe that the Seoul government immediately convened a National Security Council meeting to denounce the launch and had four Air Force fighters conduct a bombing exercise in a show of force, which he called the highest level response South Korea has taken.
The Victoria's Secret Fashion Show Is Headed To China!
IB Times reports that the prestigious fashion show is rumoured to take place in Shanghai , China in December. Work hard for your goals and stay humble ❤️ may all your dreams come true just like mine became true today.
In another joint declaration, the two countries said they will work with others in the worldwide community to further strengthen pressure against the Democratic People's Republic of Korea (DPRK) after the DPRK's recent ballistic missile launch.
The two agreed to urge China to step up pressure on North Korea to end its nuclear weapons development, the Japanese Foreign Ministry said.
May arrived in Japan yesterday with an eye to soothing Brexit fears and pushing ahead on early free-trade talks with the world's number three economy.
Great British Bake Off With Noel Fielding Starts On C4
The new series of the Great British Bake Off got off to a flying start last night in it's shiny new home on Channel 4. Fans also warmed to the new presenters, and ad breaks, with many commenting on how it kept it " BBC roots".