News Corp will be able to show clips of the Premier League games on mobile and on the internet in the three territories when the season starts on Saturday 17 August.
News Corp plans to launch a new internet and mobile product in the region next week.
The rights run include all 380 Barclays Premier League games for the next three seasons. Other UK rights News Corp has won for Japan, Vietnam and Indonesia include the FA Cup, the Sky Bet Championship and the Capital One Cup.
News Corp has also won the digital rights for the Bundesliga in Germany, the Ligue 1 in France, Serie A in Italy, the Brazilian Championship and Major League Soccer for the next two seasons.
Robert Thomson, the chief executive of News Corp, said: "European football is growing exponentially in popularity in Asia, particularly among the younger generation, whose passion for the game is complemented by a rapidly increasing adoption of smartphones."
He said the digital delivery of European football in Asia is "the sweetest of sweet spots" due to the growing globalisation and digitalisation trends.
Richard Scudamore, the chief executive of the Barclays Premier League, said: "We are extremely pleased that News Corp has chosen to invest in our mobile and internet clips rights in Japan, Vietnam and Indonesia.
"Their expertise in multi-platform news and sport coverage means that fans in all three territories can look forward to comprehensive Barclays Premier League clips being available on their smartphones, tablets and other devices."
News Corp worked with the Premier League directly to secure the digital rights for the Premier League in Vietnam. It also worked directly with Bundesliga to secure rights for the German football league in each of the three countries.
The sports media rights specialist MP & Silva brokered the rights for the Premier League for Indonesia and Japan and for all the other leagues in all three countries.
The agreement follows News Corp's News UK, then News International, winning the rights to show clips from all Premier League matches on The Sun, The Times and The Sunday Times' digital and mobile platforms.
Currently the media company has local languages sites for the Wall Street Journal in Japan (Japan.wsj.com) and Indonesia (Indonesia.wsj.com).