National Center for Integral Medicine Establishment Act - Amends the Public Health Service Act to repeal provisions regarding the: (1) Associate Director for Prevention; (2) Office of Behavioral and Social Sciences Research; and (3) Office of Alternative Medicine. Establishes the National Center for Integral Medicine in the National Institutes of Health (NIH) to: (1) conduct and support basic and applied research (including clinical research), training, the dissemination of health information, and other programs, including prevention programs with respect to identifying and evaluating alternative medical treatment and diagnostic systems and disciplines and the modalities of such treatment and diagnostic systems and disciplines; and (2) carry out functions relating to disease prevention, behavioral and social sciences research, and dietary supplements. Requires the Director of the Center (Director) to report directly to the Director of NIH. Establishes a related Advisory Council for the Center.

Sets forth provisions concerning the duties of the Director.

Requires the Director to establish: (1) a data system for the collection, analysis, and retrieval of data relating to alternative medical treatment and diagnostic systems and disciplines; and (2) an information clearinghouse to facilitate and enhance, through the effective dissemination of information, knowledge and understanding of alternative medical treatment and diagnostic systems and disciplines.

Authorizes the Director, after consultation with the advisory council, to support the operation of centers to conduct research and support other activities described with respect to alternative medical treatment and diagnostic systems and disciplines. Sets forth requirements for each center assisted.

Authorizes appropriations.

Establishes within the Center the: (1) Office of Disease Prevention; (2) Office of Behavioral and Social Science Research; and (3) Office of Dietary Supplements. Sets forth the particular duties of each office.

Transfers all officers and employees in the Office of Alternative Medicine on the day before enactment to the National Center for Integral Medicine, including the members and staff of the advisory council.