The article analyses the views of researchers on digital literacy. It describes the meaning of the concept of digital capability. The authors summarize the common European standards and frameworks for teaching and evaluating digital capability. A model of the digital faculty of a university teacher based on the Jisc framework is described. It is adapted by the authors to the conditions of study at their university. The article describes and analyses the author's` research on measuring digital capabilities of the teachers. The criteria and indicators for measuring the digital faculty of a university teacher are revealed. Methods of research using methods of mathematical statistics are described. Based on this research, the authors have developed a program to improve the skills of teachers and their lifelong learning.