The deal now goes to the Organisation of Economic Co-operation and Development (OECD), which is overseeing two days of talks starting Wednesday to find a consensus among 139 countries.
The proposal will then be taken up by the G20 club of wealthy and emerging countries at a meeting of finance ministers in Italy on 9 and 10 July.
"I don't think we have ever been so close to an agreement," said Pascal Saint-Amans, director of the OECD tax policy centre.
"I think that everybody has realised that a deal is better than no deal," Saint-Amans told France's BFM Business radio earlier this month, adding that failing to agree would lead to unilateral taxes and US reprisals.
US president Joe Biden has galvanised the issue by backing the global minimum corporate tax, and Europeans want a deal, he said.
Negotiations have gained new urgency as governments seek new sources of revenue after spending huge sums on stimulus measures to prevent their economies from collapsing during the coronavirus pandemic.
While the G7 -- the United States, Canada, Japan, France, Britain, Italy and Germany -- approved the plan, it still faces hurdles as the negotiations expand to other nations.
European Union members Ireland and Hungary are not thrilled about it, as their corporate taxes are less than 15 per cent.
Ireland has become the EU home to tech giants Facebook, Google and Apple thanks to its 12.5-percent rate.
But another EU country that has benefited from a low rate, Poland, voiced support for the proposal last week.
US treasury secretary Janet Yellen said China also has concerns about the proposal.
Two sources involved in the negotiations told AFP that China, which has a reduced rate for companies in key sectors, would not want a rate that exceeds 15 per cent.
Biden also has some convincing to do at home, as key Republicans in Congress have already criticised the deal as a "speculative agreement" and an "economic blunder".
The next round of talks will also have to settle on a tax base and the number of companies whose profits could be taxed.
While Britain backed the G7 plan, it wants to ensure that its financial sector is exempt from the reform's "Pillar One" on taxing a share of profits of overseas-headquartered companies.
Others like France are concerned that US e-commerce behemoth Amazon could escape the levies because its profit margin does not exceed a 10-percent threshold.
The world's 100 biggest multinationals would be targeted by Pillar One, but countries in the G24 -- an intergovernmental group that includes countries such as Argentina, Brazil and India -- say more firms should be added to the list.