Strengthen Social Work Training Act of 2005

Strengthen Social Work Training Act of 2005 - Amends the Public Health Service Act to include clinical psychology and social work programs among eligible health education programs for purposes of receiving grants to: (1) support programs for underrepresented minorities; (2) provide scholarships to disadvantaged students; and (3) offer faculty positions to disadvantaged students.

Allows the Secretary of Health and Human Services to make grants to, and enter into contracts with: (1) schools offering degrees in social work to provide support for geriatric training projects; (2) hospitals, schools, or other entities to plan or operate an approved social work training program and to provide financial assistance to program participants that are planning to specialize, work, or teach in the field of social work; and (3) schools offering social work programs to establish, maintain, or improve academic administrative units to provide clinical instruction in social work.

Authorizes health maintenance organizations (HMOs) to offer health services through a clinical social worker as provided for under State law.