Neurologic care exists within health systems and complex social, political, and economic environments. Identification of obstacles within health systems, defined as "constraints," is crucial to improving the delivery of neurologic care within its macroclimate. Here we use the World Health Organization's 6 building blocks of a health system to examine core services for priority interventions related to neurologic disease: (1) service delivery; (2) health workforce; (3) information; (4) medical products, vaccines, and technologies; (5) financing; and (6) leadership and governance. We demonstrate the use of a constraints analysis for neurologic disorders using the example of Timor-Leste, a newly sovereign and low-income country, which aims to improve neurologic care in the coming years.