For example, household goods and personal effects are not subject to property tax. However, if these items are used in a business, property tax applies.Taxable personal property means all tangible possessions used to conduct business. Personal property is subject to property tax in Washington State. It applies to equipment used in conducting business, manufacturing and farming. In Washington State, the listing of business personal property is a self-reporting system. In Washington State, personal property refers to assets used in conducting a business, other than real estate. Personal property tax is due April 30th. This tax is called a personal property tax and it applies to businesses in every county in Washington State and most states across the nation. In Washington State personal property is assessed for property tax purposes and refers to assets used in conducting a business.