Michael and Maria Harris of San Diego sued Walt Disney Parks and Resorts in a California court, the Orlando Sentinel reported.
They say they were eating dinner at Disney World in Florida last March when the cheese was spilled on their 4-year-old son Isaiah's face.
"The cheese was scalding hot and resulted in severe burns" and caused the boy "permanent scarring, pain and suffering," the suit filed this week charges.
The Harrises accuse Disney of serving the cheese "negligently and carelessly" with "no effort" to control the temperature.
A Disney spokeswoman commented, "It's unfortunate when any child gets injured. We just received notice of the lawsuit and we are currently reviewing it."