Instead, the group is calling for a uniform federal standard that will avoid a patchwork of laws among the states, according to the group's website.
The website also calls for the Food and Drug Administration to determine what those standards might be.
As part of the effort, the FDA should establish federal standards for companies that want to voluntarily label their products free of genetically modified organisms or GMOs.
In addition, the FDA should define the term "natural" for use on food and beverage products for consistency.
The 29 members of the Coalition for Safe Affordable Food, as the group is called, comprise companies such as Pepsico Inc., Monsanto, the National Corn Growers Association, the National Restaurant Association and the American Beverage Association.
On its website, the group touts the benefits of using GMO technology, such as producing crops with fewer pesticides, less water and lower production costs.