The slump comes after the Forties pipeline, which pumps about 450,000 barrels per day of oil, was shut in mid-December for about three weeks when a crack was discovered.
However there was better news elsewhere for the UK economy, as the ONS also revealed continued growth in manufacturing and a surprise surge in construction output in December.
The rise by manufacturers of 0.3% in the month extended the sector's run of growth to eight months - the longest period for nearly 30 years.
Construction output jumped 1.6% in the month, compared with forecasts for a flat performance.
The figures add to the pressure on Bank of England policymakers after the UK's economy grew by 0.5% in the final three months of 2017
SKY News.