There is no obvious impact on today's consumer prices figures following the EU referendum result, though the Producer Prices Index (PPI) suggests the fall in the exchange rate is beginning to push up import price faced by manufacturers," said Mike Prestwood, head of prices at the ONS.
However, Samuel Tombs, chief UK economist at Pantheon Macroeconomics, said the fall in sterling was "entirely responsible" for the rise in CPI inflation to the highest rate since November 2014.
Against the dollar, the pound is some 13% below its level in the run-up to the referendum and 10% lower against the euro.
"Sterling's depreciation ensured that pump prices rose by 0.7% month-to-month even though dollar oil prices declined," he said.