BT attracted a further 76,000 retail broadband customers during the three months to the end of September.
This accounted for nearly two-thirds of DSL and fibre broadband market net additions during this period and took the overall figure past 9.1 million.
BT also saw strong growth in the superfast fibre broadband segment in Q3, with 216,000 retail net additions taking its overall customer base to 4.5 million.
The company stated that 49 per cent of its broadband customers are now on fibre, while 92 per cent of the UK now has access to the technology from BT or other networks.
BT believes it remains on track to push this figure up to 95 per cent of the country by the end of next year, but stressed it wants to go even further.
"Our plans to make ultrafast broadband available to up to 12 million premises by the end of 2020 are also progressing well and we will soon extend our G.fast pilots to another 12 locations," the company continued.
"This means our ultrafast network will pass 500,000 premises by April 2017."
BT went on to state that consumer customer broadband speeds are more than 18 per cent higher than they were a year ago, while BT Infinity speeds for business customers have doubled.
The company's strong performance in the broadband market helped it achieve a 1.1 per cent increase in underlying revenue year-on-year, excluding the acquisition of EE, to £6 billion.
BT added that it is continuing to focus strongly on enhancing the customer experience, with over 1,000 UK-based customer service roles being added in the second half of 2016.
This step is being taken as part of an effort to ensure 90 per cent of calls in the UK are answered by the end of March.
Gavin Patterson, Chief Executive of BT, commented: "This is a positive set of results, both operationally and financially, and we remain on track to achieve our full year outlook.
He added that BT has also submitted its response to Ofcom's consultation on the Digital Communications Review and will engage the regulator to "reach the best outcome for the UK".