The main purpose of the study predetermines the main issue of the article: to show the importance of formation of a culture of working with information among students during distance learning, which means the ability to evaluate, perceive information, prevent manipulation, distinguish truth from falsehood. The main task is to assess the existing and desired level of this competence, to develop an organizational model of its formation which consists of the following components: goals and objectives, pedagogical conditions and evaluation criteria. The model was implemented simultaneously at the Drahomanov National Pedagogical University and National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" by teachers of humanities in experimental and control groups (16 people) in three stages: ascertaining, formative and final. A questionnaire and a self-assessment map of the formation of the culture of working with information were developed for the ascertaining stage; purposeful work with students was conducted (special tasks, discussion conversations, discussions) at the formative stage the results before and after the experiment were compared at the final stage in particular. Positive dynamics in the experimental group was noted, the average rate of formation increased. The proposed evaluation criteria - motivational, cognitive and activity ones have demonstrated practical value. It is advisable to recommend their use at other faculties. It is concluded that the organizational model is effective. The prospect of the study is the scientific substantiation of the implementation of the model among a wider range of students and the development of a distance specialized course.