These showed that a rise in fuel prices between August and September put upward pressure on the annual CPI rate, which economists had expected to drop to 6.6%.
"Progress in bringing inflation down is proving slow, with the UK generating higher levels of inflation than any other major industrialised nation," said Ian Stewart, chief economist at accountancy firm Deloitte.
"The persistence of underlying inflation, and service price pressures, suggests that interest rates are likely to stay close to current levels for much of the next year," he added.
Services price inflation - another CPI component the BoE studies - rose to 6.9% in September from 6.8%.
British consumer price inflation remains the highest in the Group of Seven advanced nations, with France and Italy the nearest with rates of 5.7% and 5.6% respectively for September.
Persons:
Ian Stewart, BoE, Rishi Sunak, Jeremy Hunt, Bernadette Baum, Toby Chopra
Organizations:
Bank of England, Office, National Statistics, Deloitte, Seven, Thomson
Locations:
British, August's, Ukraine, France, Italy