A pet feeding system is disclosed that includes a dish configured to regulate intake of food by a pet, such as a cat. The dish has a housing in cooperation with a food-dispensing receptacle that dispense food into a food-receiving chamber within the housing permitting a pet to access food in the chamber through at least one food access port that only permits part of the pet to reach within the housing to get some food. The food-dispensing receptacle can be a bowl that can be integrally formed as part of the housing and can also be a food-holding container that seats in the bowl. A cap is provided that can cover food in the bowl or container preventing a pet from accessing the food.