ABSTRACT In the United States, nonprofit organizations are the primary vehicle through which wealthy patrons nurture arts and culture. They provide support for theatres, orchestras, operas, and ballet troupes of all sizes, as well as museums, galleries, zoos, and public radio and television stations. The survival of this subsector is dependent on the ability of individuals and foundations to raise and funnel money to the almost 7,000 nonprofit arts and cultural organizations in the United States. Nonprofit arts organizations have historically fared well during periods of financial constraint, in part because they have not depended heavily upon government subsidies. But another explanation for this stable funding picture may be the networks of overlapping board member and interpersonal ties of collegiality and friendship which characterizes the world of nonprofit arts organizations. We began our research with the idea that network position, particularly as measured by network centrality, is an important resource for nonprofit arts organizations. We hypothesized that the more central an arts organization is in the entire network of for-profit and nonprofit arts organizations in the community, the greater will be the level of support it can generate from local donors. We also hypothesized that the more wealthy a nonprofit arts organization, the more central it is likely to be in the entire network of for-profit and nonprofit organizations. Using an extensive database of almost 3,000 directors in the Louisville, Kentucky area, and special computer-based network analysis software packages, we were able to calculate the precise centralities of local arts organizations within a network of 149 organizations, corporations, and umbrella funding agencies. In order to determine the local financial support, we collected the 1990 IRS (Internal Revenue Service) Form 990 returns for nineteen of the twenty-five organizations (76%) we identified as active in the Louisville area. After determining organizational centrality, we did a bi-variate analysis between the centrality of an individual arts organization and total organizational wealth. What we found was that centrality is strongly associated with level of contributions and weakly associated with overall wealth. We believe that nonprofit arts organizations can take deliberate steps to maximize this resource by being aware of the other organizational (and social) ties of prospective directors.