The ONS said service sector output increased by 0.8% in January on a year earlier and was up 0.3% month-on-month, despite the snow impact at the start of the year.
It is hoped that this solid performance will offset woes in the construction and manufacturing sectors.
Increased demand for exports has been helping, boosted by the recent weakness of the pound, which makes it cheaper to buy British goods and services.
The BCC's survey showed improvements in both the manufacturing and services sectors, although employment had weakened.
More top news
ITV News Correspondent Robert Moore reported on Katrina in 2005. Ten years on, he meets one of the survivors he saw being rescued.
A magician proposes to his girlfriend during his Edinburgh Fringe Festival show using a tin of Alphabetti Spaghetti and a piece of string.
The train, which is thought to be 100m long and could have up to 300 tons of gold on it, has "almost certainly" been located underground.