Under the merger agreement, Capgemini will acquire the Nasdaq-listed firm for a cash consideration of USD 48 per share and the transaction will amount to USD 4 billion, Capgemini said in a statement.
The combined revenue of the merged company is estimated at 12.5 billion euros in 2015 and around 1.9 lakh employees.
Interestingly, IGATE had bought India's Patni Computer Systems in 2011 in partnership with private equity giant Apax Partners in a USD 1.2 billion deal.
This transaction, which is expected to close in the second half of 2015, will be financed through a combination of cash and equity.
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Capgemini said the transaction fulfils one of the essential components of its strategy in expanding its presence in the North American market.
The new organisation will be in place within three months of closing and the integration is expected to be completed within nine months.
"It will give us a new status on the American market... This will also give to the Group's Indian operations a new scale, allowing us to compete on par with the best US-based and Indian-based companies," Capgemini Chairman and CEO Paul Hermelin said.
An estimated 50,000 employees will be servicing Capgemini's North American clients.
"We are gratified that the company we founded over 25 years ago has developed into a global enterprise with over 30,000 employees, a trusted partner to over 250 clients, a market value of over USD 4 billion, and one of the most respected brands in the IT industry," IGATE Co-Founder and Co-Chairman Sunil Wadhwani said.
It will also bring on board flagship clients like General Electric and Royal Bank of Canada for Capgemini.
The deal is expected to be immediately accretive to Capgemini's normalised Earnings Per Share (EPS), it added.
The agreement has been approved by both Capgemini and IGATE's Board of Directors.
The transaction has also been approved by the written consent of shareholders holding a majority of IGATE's shares.
Headquartered in New Jersey, US, IGATE reported revenues of USD 1.3 billion in 2014. Its largest market is North America, which represented 79 per cent of revenues, followed by Europe (14 per cent) and Asia-Pacific (7 per cent).