They would also welcome presents for children.
Brenton Millar, from the Salvation Army, said it wanted to be able to give people hope over the Christmas season.
"We want to give people hope by giving them food at Christmas, so that they can then use the money to spend on other important stuff like power bills."
He said the gesture by Countdown was magnificent.
"It's helpful, beneficial, boosting the hope in people. Many times when people come in to receive food they are overawed by what they receive, especially at this time of year."
He said across New Zealand the Salvation Army would be helping 17,000 individuals and families over the festive season.
The Salvation Army will also be running a Christmas tree showcase in Napier.
The Napier Salvation Army complex will be decked out in Christmas trees, sponsored by various businesses.
"We're just charging $5 per adult and $2 per child, 12 and under, to come in and walk through this big, Narnia-type Christmas tree experience."
The show case opens this Friday.