This paper was composed with the objective of engaging in an analytical review of literature related to Library Anxiety in students with special emphasis on academic libraries. This paper extensively covers the spectrums of Library Anxiety theory, scales for measuring Library Anxiety, sources of Library Anxiety, impacts of Library Anxiety on students, and ways and means of reducing Library Anxiety. This analytical review points to the fact that Library Anxiety is a common phenomenon among students that adversely influence their ability to utilize information sources and services which affects their academic performance. Suggestions are also made for strategies to reduce students' Library Anxiety levels and uplift their self-confidence, thereby helping them to become effective library users who are free from unpleasant and uneasy feelings.