Windfall Profits Rebate Act of 2005 - Amends the Internal Revenue Code to: (1) impose an excise tax on oil companies for a percentage of the windfall profit from all barrels of taxable crude oil; (2) allow a tax deduction for the payment of any windfall profit tax; and (3) allow an income tax rebate for all taxpayers based upon windfall tax revenues, as determined by the Secretary of the Treasury. Defines "windfall profit" as the excess of the removal (sales) price of a barrel of taxable crude oil over the adjusted base price ($40 per barrel adjusted for inflation) of such barrel.