The satellite broadcaster added 51,000 net new customers in the three months to March 31, bringing its total subscriber base to 10.1 million.
In the nine months to the end of March, Sky's earnings before interest, taxation, depreciation and amortisation (EBITDA) rose 19% to £1.03bn. Based on revenue, that was up 14% to £4.83bn.
Quarterly pre-tax profits were down 32.7% year-on-year to £238m, largely due to the one-off gain from the sale of most of Sky's 17.9% stake in ITV in the first quarter of 2010. Operating profit grew from £249m to £261m.
Buoyed by the successful launches of Sky Atlantic and Sky Living, Sky signed up 189,000 new Sky+ HD customers, bringing its total base to 3.7m, up 47% year-on-year.
The company also added 155,000 new broadband customers and 159,000 new telephony customers, with 26% of its subscribers now taking the "triple play" package of all three services - TV, broadband and landline.
Sky's churn rate - constituting customers leaving the company - grew slightly in the quarter to 10.4%, but average revenue per user (ARPU) was up 8% year-on-year to £544.
The company also enjoyed massive growth in its advertising revenue, particularly due to last year's acquisition of the Living TV Group, which reported 41% year-on-year growth in the nine months to the end of March to £348m.
The strong growth comes as Sky awaits a decision from culture secretary Jeremy Hunt on whether he would grant approval for News Corporation's takeover bid.
Rupert Murdoch's media giant failed last year with a 700p per share offer for the 60.9% of Sky that it does not already own, but Sky's independent directors indicated that they would entertain a bid of more than 800p per share.
In early morning trading, Sky's share price was 837p, and some investors are now agitating for News Corp to make an offer north of 900p per share. Sky said that it has spent a total of £12m in the nine months to March 31 on various costs relating to News Corp's approach.
Jeremy Darroch, the Sky chief executive, said that the business has delivered "another good performance in what has clearly been a tough consumer environment".
Darroch said that the Sky is benefitting from the "transition to more broadly based growth", including strong customer additions across all product ranges.
"Customers are choosing Sky for a better choice of television and 2011 is shaping up to be our best year yet on screen," he said.
"Our new channel, Sky Atlantic, has got off to an excellent start with 10 million viewers in the first two months. Alongside Sky 1 and Sky Living, it forms part of an outstanding entertainment line-up that will bring even more value to customers in the months ahead, including a growing commitment to UK drama and comedy."
Darroch added: "We remain cautious on the economic outlook for calendar 2011. Our approach in the current environment will be to stay flexible on costs while delivering for customers through a combination of great value, high-quality content, leading innovation and better service. As these results show, the whole team remains focused on executing our strategy."
Sky also said that it expects to make a £10m profit from the sale of its 13% stake in Shine, the production company owned by Elisabeth Murdoch that was acquired by News Corp earlier in the month.