Manufacturing Reinvestment Account Act of 2010 - Amends the Internal Revenue Code to establish tax-exempt manufacturing reinvestment accounts (MRAs) for taxpayers engaged in a manufacturing business. Allows such manufacturers to make tax deductible cash payments into an MRA of the lesser of their domestic manufacturing gross receipts for the taxable year or $250,000. Permits expenditures from an MRA for expenses for property to be used in the manufacturing business and expenses for employee job training and workforce development. Terminates the tax deduction for payments to an MRA seven years after the enactment of this Act.