No, a generator will not damage your household appliances. In fact, a generator can actually be a great way to keep your appliances running during a power outage. However, there are a few things you need to keep in mind when using a generator. First, you need to make sure that the generator is properly grounded. If the generator is not properly grounded, it could damage your appliances. Second, you need to make sure that the generator is not overloaded. If the generator is overloaded, it could damage your appliances. Finally, you need to make sure that the generator is not used in a wet or damp environment. If the generator is used in a wet or damp environment, it could damage your appliances.