The company will begin the program by pledging a $50,000 corporate donation.
"This horrific tragedy has touched us all. While there are no words to express our sorrow, our deepest condolences, thoughts and prayers go out to the family members, students and faculty. April 16th is a day that will forever be remembered in all of our lives," said Steve Smith, Food City president and chief executive officer.
Contributions can be made April 22 through May 12 at all area Food City and Super Dollar Discount Food locations.
Customers should simply indicate their desired donation amount at the time of checkout, and it will be added to their grocery bill.
"While no amount of money can compensate for the loss of innocent lives, as a community, we felt compelled to use every resource at our disposal to aid in the recovery process," said Smith.
One hundred percent of the money collected will be contributed to those affected by the tragedy.
Food City is headquartered in Abingdon.