A pet feeder includes a base and a lid, the base defining a bowl and the lid defining a reservoir. The base and lid are connected by a hinge, such that the lid can be retained in an open position. Solid food or liquid flows from the reservoir, through a valve, into the bowl. In the case of liquid, the supply of liquid in the bowl is continuously replenished due to the flow of liquid, by gravity, into the bowl. In another embodiment, the feeder may include a single base and separate bowls and separate lids, so that the feeder may provide both solid food and liquid simultaneously. When the lid is closed, the pet feeder becomes a compact structure that can be easily stored and transported.