The cost of everyday goods and services rose by 0.6% in August, according to the Office for National Statistics (ONS), unchanged from July.
The ONS said the rise was largely due to higher food prices and air fares, while petrol prices fell at a slower rate than this time last year.
The increase was limited by falling hotel prices and smaller rises of clothing, footwear and alcohol prices.
At 0.6%, inflation is still at a historically low level. But it is much stronger than the rate recorded for much of 2015, when the UK skirted with deflation. The Bank of England's official target is 2%, which is seen as the ideal balance between encouraging spending and prices not rising too much.
Inflation is widely expected to increase over the coming years as a result of leaving the European Union. In the immediate aftermath of the Brexit vote, the pound lost significant value against the US dollar and euro. A weaker pound makes it more expensive for companies to buy products from abroad, with the increase likely to be passed onto the consumer.
In May, Warwick Business School forecast inflation to remain under 1% for at least the remainder of 2016. However, that forecast came before the EU referendum.
Andy Scott, economist at HiFX, said: "What remains to be seen is whether manufacturers and importers absorb those increases in costs, effectively taking a hat on their profit margins, or whether they will pass them on through price increases.
"Following sterling's much more significant fall following the financial crisis in 2008, we saw a mixed picture in this regard as the economy went into reverse, forcing certain industries to absorb the cost rather than risk losing sales by raising their prices. In the post-Brexit economy, where there is already significant monetary support in place, with record low interest rates and another £70 billion of QE (quantitative easing) from the Bank of England, there may be more confidence that demand would not drop significantly due to relatively small price increases.
"In this scenario, we would expect to see inflation rise above the Bank of England's 2 target in the months ahead, but their concern is supporting the economy rather than short-term influences on inflation from sterling's fall."
