Current and emerging technologies enable Open Distance Learning (ODL) institutions integrate e-Learning in innovative ways and add value to the existing teaching-learning and assessment processes. ODL e-Assessment systems have evolved from Computer Assisted/Aided Assessment (CAA) systems through intelligent assessment and feedback systems. E-Assessment (electronic assessment) connotes using electronic technology and tools to design and administer assessments, collect and store students' assessment evidences, grade performance, provide feedback and generate reports. The widely recognized advantages of e-Assessment over traditional, paper-based assessment include: lower long-term costs, instant feedback to students, greater flexibility with respect to location and timing, improved reliability with machine marking, improved impartiality, and enhanced question styles that incorporate interactivity and multimedia. The advent of Learning Management Systems (LMS), such as Moodle (Modular Object-Oriented Dynamic Learning Environment) paved the way for integrated advanced services for: interactive dialogue, controlling knowledge at different stages of distance process and e-Assessment systems. Moodle provides the complete integrated environment for handling all aspects of e-Assessment from authoring questions through to reports for course teams (Butcher, 2008). This study explores how Moodle functionality: supports diagnostic, formative, summative and competency-based assessments and facilitates ODL institutions design, administer and manage e-Assessments.