This is a simple question, but the question does not have a simple answer. Generally speaking the answer is no, closing costs are not deductible when refinancing. However, the answer depends on what you mean by "closing costs" and what is done with the money obtained in the refinancing.

Costs added to basis. Certain expenses paid in connection with the purchase or refinancing of a home, regardless of when paid, are capital expenses that must be added to the basis of the residence. These include attorney's fees, abstract fees, surveys, title insurance and recording or mortgage fees. Adding these costs to basis will lower any capital gain tax that you pay when you eventually sell your home. If your gain is sheltered anyway by the home sale exclusion of $250,000 ($500,000 for couples filing jointly) on the eventual sale of a principal residence, any previous addition to basis, while doing no harm, will also do no good.

Costs neither deductible nor added to basis. Other costs are neither deductible nor added to basis. These costs include fire insurance premiums, FHA mortgage insurance premiums and VA funding fees, settlement fees and closing costs.

Interest expense. Taxpayers may deduct qualified residence interest, however. "Qualified residence interest" is interest that is paid or accrued during the tax year on acquisition or home equity indebtedness with respect to a qualifying residence.

Points. Points are charges paid by a borrower to obtain a home mortgage. Other names used for deductible points are loan origination fees, loan discounts, discount points and maximum loan charges. While a fairly broad rule permits the deduction of home mortgage interest, the rule governing the deduction of points is narrower and has a number of restrictions. Points paid to refinance a mortgage on a principal residence, like other pre-paid interest that represents a charge for the use of money, are generally not deductible in the year paid and must be amortized over the life of the mortgage. However, if the borrower uses part of the refinanced mortgage proceeds to improve his or her principal residence, the points attributable to the improvement are deductible in the year paid.

Prepayment penalties. In cases where a creditor accepts prepayment of a secured debt, such as a mortgage debt on a home, but imposes a prepayment penalty, the prepayment penalty is deductible as interest.

Applicable forms. To deduct home mortgage interest and points, you must file Form 1040 and itemize deductions on Schedule A; the deduction is not permitted on Form 1040EZ.