Higher beef and fresh produce prices pushed UK food inflation up for the fourth month in a row.
Food price increased 2.8% in the year to May, up from 2.6% in April, according to data from the British Retail Consortium (BRC), which represents supermarkets and other retailers.
Helen Dickinson, chief executive of the BRC, said shops were passing on the costs of higher minimum wages and increased employer National Insurance contributions.
Nick Allen, of the British Meat Processors Association, told the BBC the price of beef had risen to "record levels" due to strong demand and lower supply.
He said competition between supermarkets had previously been keeping the price of beef down, so it was only a matter of time until customers were hit by cost increases.
"Its not surprise. The farm price for beef has been going up and up to the point that its now at record levels," Mr Allen said.
He warned it was a "real struggle" for the industry to keep up with demand for beef, and claimed that "government schemes have not supported production but environmental schemes instead".
The said red meat eaters "may have noticed their steak got a little more expensive" this month.
Tomas Maunier co-founder of steak restaurant chain Fazenda, said his firm had passed on about 2% of increased running costs to customers.
"Beef in particular has gone up about 20% in the last 12 months. A big chunk of that has happened in the last six but businesses cannot pass it all on to our guests," he added.