Health Care Claims Guidance Act - Amends Federal law relating to claims against the U.S. Government to prohibit any action under such provisions based on a claim submitted: (1) under a federally funded health care program unless the amount of damages alleged is a material amount; (2) in reliance on erroneous information supplied by a Federal agency or in reliance on written statements of Federal policy which affects such claim provided by a Federal agency; or (3) by a person that is in substantial compliance with a model compliance plan issued by the Secretary of Health and Human Services (in consultation with the Secretary of Defense). Requires that the Government prove an allegation of a false health care claim by clear and convincing evidence. Defines, for the amendments made by this Act, "federally funded health care program" to mean a program that provides health benefits, directly or otherwise, established under Social Security Act titles XVIII (Medicare), XIX (Medicaid), or XXI (Children's Health Insurance) or provisions of Federal law relating to the armed forces.