This research work was undertaken to evaluate the problems of Information Security Risk Management of Ibrahim Babangida Library (IBL) of Modibbo Adama University of Technology, Yola. The data for the study were obtained through a structured questionnaire and personal interview from the four Units of the library namely: Readers' unit, serial unit, Reserve Unit and Media Unit. The analysis employed was the Analytic Hierarchy Process (AHP) to prioritized threats in four Units of the library. The analyses of data revealed that: Library Security Threats in IBL are Categorized into three; Technological Threat, Natural Threat and Human Threat. Human Threat is the most severe among the three. Based on this result we gave the Recommendations that management should allocate resources to mitigate information security threat in order of threat preference: Human threat, Technological threat and Natural threats respectively.