"Of course I recognise that the UK's forthcoming exit from the European Union is no small undertaking but importantly it does present the opportunity to strike free trade deals around the world," she said.
Britain intends to seek free trade deals with its major trading partners once it leave the EU next year.
There are 879 Japanese companies employing 142,000 staff in Britain, including carmakers Honda and Nissan.
A leaked government assessment published in British media in recent days suggests the car industry could face cost increases of between five and 13 percent under different possible post-Brexit scenarios.
May's meeting in Downing Street was attended by senior executives of Honda, Mitsubishi, Nissan, Panasonic and Toyota, as well as Nomura and other banking giants.
Just weeks after the Brexit referendum in 2016, a Japanese government taskforce told Britain and the EU to minimise the "harmful effects" of Brexit.
"Japanese businesses with their European headquarters in the UK may decide to transfer their head-office function to continental Europe if EU laws cease to be applicable in the UK after its withdrawal," said the 15-page document.
"What Japanese businesses in Europe most wish to avoid is the situation in which they are unable to discern clearly the way the Brexit negotiations are going, only grasping the whole picture at the last minute.
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