Private investment will play a large role in achieving this target, Singh said, while asking Japanese companies to play a much greater role in development of India's economy.
From India, Mukesh Ambani, Reliance Industries Chairman and Managing Director; Sunil Bharti Mittal, Bharti CMD; Fortis Chairman Malvinder Singh; and HDFC Chairman Deepak Parekh were among those present at the luncheon.
"India's investment needs in infrastructure will be at least one trillion US dollars during the next Five Year Plan. Part of the investment will come from within but we expect Japanese investments to provide substantial support to this," Singh said at the luncheon hosted by Nippon Keidanren, while asking Japanese firms to go beyond mergers and acquisitions.
He said that during the last three years, India has received cumulative Foreign Direct Investment worth over $100 billion.
"We have seen a slow down in the recent months but I see that as temporary," the Prime Minister said. Singh said most of India's investment is financed by domestic savings which has increased to 35 per cent of GDP.
"I am confident that in the couple of years, it will rise to 40 per cent of GDP," he said, but added that India's domestic savings will have to be supplemented by foreign capital so that total domestic investment can be higher.
Reaching out to the business community of Japan, he said "today, more than ever before, India's buoyant economy, young population and large market combine well with Japan's technological prowess, manufacturing skills and financial resources to create a win-win situation."
"I strongly believe that we can and we must synergise our complementary strengths to impart momentum to Asian as well as global economic growth and prosperity," he emphasised.
He noted that India-Japan trade and investment had witnessed steady expansion in the recent years with the commerce making a "robust rebound" in 2010 and was expected to exceed $20 billion by 2012.
"However, it is still at a low threshold, apart from being unbalanced, he said. The Prime Minister said the Japanese FDI in India has grown substantially in the last three years, much because of mergers and acquisitions.
"We welcome greater Japanese involvement in (Indian) industry but I hope this will go beyond mergers and acquisitions to see Japanese Foreign Direct Investment creating new capacity in India's manufacturing sector. We also hope Japanese investment will engage in greenfield infrastructure projects as well," he said.
Singh said in the next 20 years, 40 per cent of India's population is expected to be in urban areas which will pose greater challenge of meeting the requirements in terms of services like transportation and water supply. Japan has "unique capabilities" in this area and can join India in urban development, the Prime Minister said.