Children's Vaccine Access Act of 2004

Children's Vaccine Access Act of 2004 - Amends title XIX (Medicaid) of the Social Security Act to: (1) expand the pediatric vaccine distribution program to include coverage for children administered a vaccine at a public health clinic (including an Indian health clinic); (2) repeal the price cap for pre-1993 vaccines; and (3) authorize the Secretary to sell the stockpiled vaccines to public health departments or back to manufacturers as the Secretary determines appropriate. Requires proceeds received from such sales to be available to the Secretary only for the purpose of procuring pediatric vaccines stockpiles and to remain available until expended.