Housing Opportunity and Mortgage Equity Act of 2010

Housing Opportunity and Mortgage Equity Act of 2010 - Directs the Federal National Mortgage Association (Fannie Mae) and the Federal Home Loan Mortgage Corporation (Freddie Mac) (government-sponsored enterprises or GSEs) each to carry out a one-year program providing for the refinancing of qualified single-family housing mortgages it owns through a refinancing mortgage (and for the purchase of and securitization of such refinancing mortgages) in accordance with this Act and the policies and procedures of the Federal Housing Finance Agency.

Defines a qualified mortgage as one, regardless of whether the mortgagor is current on payments due or in default, that: (1) is an existing first mortgage for purchase of, or refinancing another first mortgage on, a one- to four-family dwelling, including a condominium or a share in a cooperative ownership housing association, that is occupied by the mortgagor as principal residence; (2) is owned or guaranteed by the particular GSE; and (3) was originated on or before enactment of this Act.

Specifies the terms and conditions of a refinancing mortgage, including a 40-year term to maturity and a prohibition on borrower fees. Requires waiver or forgiveness of all fees and penalties related to any default or delinquency on the original mortgage.

Requires a GSE to pay a fee of up to $1,000 to the servicer of a qualified mortgage refinance.

Prohibits any requirement of a property appraisal.