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
Brighter skies developing across northern Britain and Northern Ireland with some sunshine tomorrow but feeling cooler again.
A mafia-wife will be looking to rule the roost as she joins fellow reality stars, singers, actors and models in the CBB house.
Almost immediately after EDF announced it was ready to proceed with Hinkley C, the government announced it wasn't.