Food prices edged down 0.9% with both fresh and ambient food helping to keep prices down.
Meanwhile, non-food deflation decelerated to 2.5% in April from 2.8% in March.
BRC director general Helen Dickinson said: “The falling prices of non-food goods slowed down very slightly, whilst offering up great deals in clothing, electricals, books, stationery, home entertainment, DIY, gardening and hardware.
“April saw the 24th consecutive month of falling shop prices and the 25th consecutive month of falling non-food prices. These trends help to illustrate how retail has helped the consumer keep the cost of living down in recent years.”
The BRC said that there is evidence to show that around a third of grocery spend is now on promotions and that food prices in UK supermarkets are on average 7% lower than the Eurozone average when fruit and vegetables are excluded.