For the fastest service, submit an application for an extension using our new My DOR services. Get help using My DOR for estate tax.What is the estate tax? How do I file the estate tax return? Due dates for all types of property taxes are the same, October 1 for the first half and March 1 of the following year for the second half. Arizona does not have an estate tax or inheritance tax. The Arizona Department of Revenue (Department or ADOR) administers the property tax system in cooperation with the 15 county assessors, among others. Calculate how much you'll pay in property taxes on your home, given your location and assessed home value. 4) Deposit your return and payment in the City drop box located on the south side of Washington Street just west of Third Avenue.