"China will likely pass the United States as the world's largest economy in the next few years and India has probably recently surpassed Japan to be third largest," said the OECD Economic Outlook report.
Until around 2020, China is set to have to highest growth rate among major countries, but could be then surpassed by India, it further said.
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OECD also said that by early 2030s, the BRIICS' (Brazil, Russia, India, Indonesia, China and South Africa) combined GDP should roughly equal that of the OECD (based on current membership), compared with just over half that of OECD now.
"Between now and 2060, GDP per capita is seen to increase more than 8-fold in India and 6-fold in Indonesia and China," it added.
The Organisation for Economic Cooperation and Development (OECD), which in November had projected India to grow at 5.9 per cent in 2013, cautioned that structural bottlenecks in the country could further constrain investment and growth potential.
"GDP growth is projected to rise gradually over the next two years... Significantly more growth would be forthcoming if structural bottlenecks were swept away by fundamental structural reforms," the report said.
Looking ahead, it said India is likely to improve growth to 6.7 per cent next year, after having logged a decade's low of 3.8 per cent in 2012.
OECD said the world real GDP is projected to increase by 3.1 per cent this year and by 4 per cent in 2014. Across OECD countries, GDP is projected to rise by 1.2 per cent this year improve to 2.3 per cent in 2014. Growth in non-OECD countries will rise by 5.5 per cent this year and 6.2 per cent in 2014.