Services To Prevent Veterans Homelessness Act - Directs the Secretary of Veterans Affairs to provide financial assistance to eligible entities (private nonprofit organizations or consumer cooperatives) to provide and coordinate the provision of various supportive services for very low-income veteran families occupying permanent housing. Requires: (1) equitable geographic distribution of such assistance; and (2) the Secretary to provide training and technical assistance to participating entities regarding the planning, development, and provision of such services.