The exchange and transformation of knowledge through information technologies is a feature of modern societies where different issues interact, transforming deeply the framework for the education development. In this essay we would like to focus on the assessment of new skills and digital literacy emerged and developed in the Knowledge Society. So, if learning and teaching digital competences in the Networked Knowledge Society are important, their assessment become indispensable to monitoring, not only the students achievement, but even their properly integration in the Digital Era, assuring their success to face the challenges in the Knowledge Society. We describe the main assessments in this field from two different contexts: firstly, «iSkills Assessment», «Assessment and Teaching of 21st Century» and «Technology and Engineering Literacy Assessment» from USA and, secondly, «International Computer and Information Literacy Study» from the IEA context.