Benyon, a minister in the Department for Environment, Food and Rural Affairs, said the effort is especially important when money is tight, The Daily Telegraph reported.
"We have been needlessly throwing away enormous amounts of food when it is perfectly safe to eat it," he said.
Some politicians criticized Benyon's comments, saying he was out of touch suggesting that refrigerator management would solve a larger crisis.
"It does not look good," Prime Minister David Cameron commented, but he said the minister's words were misinterpreted.
Cameron said Benyon was simply taking part in a debate over food waste and supermarket packaging.
The prime minister said the government is taking steps to help struggling families.