Premises liability means

the duty a property owner has to keep people on his property safe.

For example, a typical plaintiff in a premises liability case would be a customer in a store who was struck by a heavy item that falls from a shelf onto her head. Another example of a plaintiff would be a person walking in a restaurant who slips on some liquid on the floor where a drink got spilled or staff was cleaning the floors. Another example would be a hotel that has inadequate security and a guest gets assaulted in their room as a result. Or, a bar that has an unlit parking lot and plaintiff gets assaulted in the parking lot. In all of these examples, the property owner has an obligation to at least try to keep people who use his property safe. If the property owner fails to keep people reasonably safe on his property, he can be held liable for any damages that occur on his property.