Manufacturing output increased 0.1 percent in October from September, as expected in a Reuters poll.
United Kingdom economy may see some green shoots in 2018.
Despite a relatively subdued October, Kate Davies of the Office for National Statistics said "the longer-term picture is one of strong growth". Economists had forecast a 3.8 percent rise.
Overall, Britain's industrial output was flat on the month, in line with expectations, though the annual growth of 3.6% was slightly above the consensus. The more dominant services sector data are due to be released on December 22.
The total trade deficit widened by £300 million to £1.4 billion between September and October following a 1.6 per cent jump in goods imports.
Britain's export performance has looked average this year compared with other European economies, suggesting sterling's sharp fall after last year's Brexit vote has yet to provide a major boost to competitiveness.
The ONS also released figures for construction and manufacturing output in October.
Construction output contracted for the sixth consecutive period in the three-month on three-month time series, falling by 1.4 percent in October, ONS said. This was the largest fall since March 2016.
ONS said growth in new orders was the highest on record, exceeding the previous high of 32% seen in the third quarter of 1987, which was a result of new orders placed for the construction of the Channel Tunnel.