Generally, estates that file the federal 1041 and reside in Ohio, or earn or receive income in Ohio, must file the IT 1041. The Estate Tax is a tax on your right to transfer property at your death.The deadline to file an Ohio state tax return is April 15, which is also the deadline for federal tax returns. Ohio does not have an estate tax or inheritance tax. Estate and inheritance taxes are taxes levied on the transfer of property at death. At the same time, the Ohio tax also features lower rates for big estates, as most state estate taxes have graduated rates in which the top rate is 16 percent. State inheritance taxes are less common than estate taxes.