Gerber said it has received complaints of choking but no reports of injury.
The company said a "limited quantity" of the cereals could contain lumps that do not dissolve in water or milk. The cereals were distributed nationwide and to Puerto Rico and the Caribbean.
Food and Drug Administration compliance officer Sandra Williams said the agency was aware of the voluntary recall "and we concur."
All codes of the two products, sold in 8-ounce boxes, are being recalled. The organic rice cereal UPC code is 15000 12504 and the organic oatmeal cereal UPC code is 15000 12502.
The baby food should be not be eaten, and customers can call the Gerber parents resource center at 800-443-7237 or 231-928-3000 to return the product and receive a full refund.