Nursing School Capacity Act of 2005 - Requires the Secretary of Health and Human Services to request that the Institute of Medicine of the National Academy of Sciences (NAS) conduct a study to: (1) identify constraints encountered by schools of nursing in admitting and graduating the number of registered nurses necessary to ensure patient safety and meet the need for quality assurance in the provision of health care; and (2) develop recommendations to alleviate the constraints on a short-term and long-term basis. Directs the Secretary to provide that the study consider the perspectives of: (1) nurses and physicians in inpatient, outpatient, and residential facilities; (2) faculty and administrators of nursing schools; (3) providers of health plans or health insurance; and (4) consumers.