E-Assessment, which is a key element in the instructional design process, plays a major role in supporting and enhancing learning. However, the current e-assessment design does not achieve the desired pedagogical objectives in the e-learning environments. In this paper, we propose a hybrid pedagogical framework for e-learning environments, that includes a set of principles for competencies assessment design based on the Competency-based Approach (CBA) and Objective-based Approach (OBA). In addition, we present an authoring tool that illustrates the assessment design based on this proposed framework. This tool aims to support and assist teachers to create assessment activities suited to competency levels in a guided, controlled, and easy way. One of the main messages of this paper is that explicit use of pedagogical approaches allows the successful guidance of the teachers and effective e-assessment design.