Understand what you need to do to file an estate income tax return and how to get an Employee Identification Number. New York State's estate tax is calculated using the tax table provided on Form ET706.There are multiple versions of Form ET-706. Not only do you have to file the decedent's final income taxes, but you will also need to file an income tax return for the estate itself. New Jersey imposes inheritance taxes on decedent estates at the time of death. This article explains in depth how the inheritance tax may affect you. Many estates will still be subject to state estate taxes and income taxes. These are the official forms for use in Surrogate's Court proceedings. Find common questions and answers about estate taxes, including requirements for filing, selling inherited property and taxable gifts.