The survey described in this report was designed to test whether or not library directors are able to recognize the existence of the problem of burnout (the emotional and physical exhaustion due to continued stress on the job) and how, if at all, top management of the institutions of which the library is a part view and deal with the issue. Survey data were gathered by means of a one-page questionnaire mailed to the heads of 90 libraries in New York State that were selected on the basis of their being part of larger institutions; 40 replies were received. The survey's main finding was that 65% of the library directors perceived burnout among their professional staff. In addition, stress and frustration were most frequently selected as very important warning signs of burnout; and the administrative techniques ranked as very important in dealing with burnout were: (1) to provide realistic job expectations, and (2) to establish clear lines of communication. It is concluded that burnout definitely exists among library professional staff and that the majority of administrators are in need of, or would find useful, some central program sponsored by their organization to address the issues related to job burnout among their employees. Survey statistics are presented in 5 tables; 23 references are provided; and the questionnaire is included. (KM)