Real president Florentino Perez and Orlando Ayala, a Microsoft vice president, presented the platform at a ceremony at Real's Bernabeu stadium in the Spanish capital on Tuesday.
"Powered by Microsoft's cloud solutions, we will offer fans exclusive, personalised and customised content and digital services," Ayala said.
"So fans will be able to choose not only what content they want to access but also create their own customised versions of an experience whenever, however, and from wherever," she added.
"And because sport is intrinsically community oriented, we're setting up social and other digital ways for fans to share these experiences with friends and family in real time."
Perez, who has transformed Real into the world's richest club by income, said the agreement was "a powerful alliance" that was "capable of changing the relationship of millions of fans with Real Madrid".
"In every country, on every continent, there will always be millions of Madridistas connected by a feeling that knows no borders," added the construction magnate.
Real last month announced a long-term strategic partnership with Abu Dhabi fund International Petroleum Investment Co (IPIC) that will help fund a planned overhaul of their stadium.
© Thomson Reuters 2014