Transparency in All Health Care Pricing Act of 2010 - Requires any and all individuals or business entities, including physicians, pharmacies, pharmaceutical manufactures, and insurance entities, that offer or furnish health care related items, products, services, or procedures for sale to the public to publicly disclose, on a continuous basis, all prices for such items, products, services, or procedures. Authorizes the Secretary of Health and Human Services (HHS) to: (1) investigate any individuals or business entities that fail to comply with the requirements of this Act; and (2) impose civil fines, or other civil penalties, as appropriate.