
Two other firms, Meteor and 3, are still in talks with the airline.
Reports suggest that Vodafone Ireland decided not to offer the service to consumers amid concerns over cost.
The technology has been installed in around 20 Dublin-based aircraft and the implementation across the 170-strong fleet will be completed over the next 18 months.
Ryanair chief executive Michael O'Leary said the success of the mobile phone service might pave way for the introduction of in-flight gambling within a few years.
The low-cost airline attempted to introduce such services in the past, but efforts were hampered by the lack of a suitable payment system.