The market, estimated at 53.9 billion euros ($73.8 billion) this year, is expected to soar to 82.1 billion euros in 2017, the France-based firm said in a report.
The wave of new devices is expected to keep the market buoyant until 2017, IDATE said.
Handheld consoles such as Nintendo's 3DS or Sony's PSVita, which have a share of about 22 percent in 2013, are projected to record declining share to 13 percent in 2017, in the face of increasing strong competition from tablets and mobile phones.
"Smartphones and tablets offer a radically different experience, and in terms of the budget, the tablet is a significant competitor for the consoles," Laurent Michaud, who is in charge of gaming research at IDATE.
"The choice of purchase between the tablet and the console will determine the success of this generation of machines," he said.
The offline computer game is expected to record an irreversible decline, while this year online games are emerging as the leader.
The increasing popularity of online games stems from the fact that they dominate the gaming industry in China and South Korea, Michaud noted.
"They are games oriented towards 'Free2Play' and it is no surprise that they are gaining colossal success because the games are good," he said, referring to the downloadable games.
One example is the online game Candy Crush which records 700 million sessions a day and racks up daily sales of $850,000 (630,000 euros).
Online games are expected to record average growth of 11.4 percent while mobile gaming is seen progressing by 12.2 percent annually between 2013 and 2017.
Traditional game developers which are used to selling physical copies of their games on discs, have not been keeping pace with virtual ones.
Many were slow to exploit the phenomenal success of games played on social networks.
They have also been slow to join on the smartphone and tablette bandwagon.
In December 2012, only Electronic Arts and Square Enix were among the top revenue generators on Apple's App Store. And only Electronic Arts and Take Two Interactive had games that ranked in the top 20 by revenues.
On Android Market, none of the traditional gave developers had games on the bestsellers' list.
IDATE sees these key players producing fewer and fewer blockbusters, which are also becoming more and more expensive to make.