"New rules should be developed to address new business models... allowing companies to do business in a territory without any physical presence," it said.
"Ministers agreed that a minimum level of effective taxation... would contribute to ensuring that companies pay their fair share of tax," the statement said.
A French official, who asked not to be named, said the tax level would have to be agreed in the future.
"The tax level to be set would depend on concrete design features of the rules," the statement said.
looks forward to further progress in the context of the G20 and a global agreement on the outlines of the architecture by January 2020," it added.
The consensus reached at the G7
-- which sources said came after talks that lasted into the early hours of Thursday morning -- came after a bitter dispute between France and the United States in the last weeks.
The French parliament earlier this month passed a new law that will tax digital giants on revenue accrued inside the country, even if their European headquarters are elsewhere, in a move that will affect huge US groups Google, Apple, Facebook and Amazon.
The move infuriated President Donald Trump and the US announced an unprecedented probe against France which could trigger the imposition of tariffs.
The plan agreed Thursday would have to be further developed by the G20 group of top 20 economies and then implemented under the aegis of the Organisation for Economic Cooperation and Development (OECD).
Meanwhile, the G7 ministers agreed that new cryptocurrencies such as Facebook's Libra risked destabilising the international
monetary system and were not ready to be implemented.