Sky installed one million connected Sky+HD boxes in the final three months of 2013 - a record quarter for the satellite TV provider.
With 11,000 households per day linking their set-top box to their broadband connection - allowing them to take advantage of on-demand content - Sky now has a total of 4.4 million connected homes.
Sky said it has seen "positive benefits" from higher satisfaction rates and brand advocacy from customers who have a connected Sky+HD box.
The firm added that investment in the Sky On Demand service - and an awareness campaign around its benefits - has encouraged upsells to higher-tier packages, especially Entertainment Extra Plus.
Sky also added 112,000 new HD customers during Q4 2013, taking its high definition base through the five million mark.
Sky Go Extra, the paid-for mobile TV service, also grew between October and December, with 258,000 net new additions in the quarter.
As such, 643,000 customers are now signed up, less than one year after launch.
Jeremy Darroch, Chief Executive of Sky, said the company had enjoyed a "good quarter" for TV growth.
He added: "The investments we are making to accelerate growth in connected TV services are delivering excellent results."
"Sky has quickly established itself as Britain’s biggest connected TV platform and, with millions of customers yet to connect their boxes, there is still a big opportunity ahead."
Mr Darroch claimed that customers "love the benefits that come with the connected box".
He noted that Sky On Demand usage more than trebled year-on-year during the last three months of 2013, and the number of movie rentals through Sky Store doubled.
"More customers than ever are choosing Sky Go to watch content both in and out of the home, helped by the addition of 14 new entertainment channels and the launch of Sky Go on more connected devices," Mr Darroch stated.
"We continue to see significant opportunity for accelerated growth and returns as we use our innovation to differentiate our offering and give Sky customers the best ways to enjoy our content."