The article analyzes the need for the formation of critical thinking technologies for students of non-native high schools while learning English. It has been established that the formation of students' critical thinking is a necessity dictated by modernity and the rapid development of the latest technologies. The article discusses the concepts of "critical thinking" and "criticality". The main three stages of the technology of forming critical thinking are described: challenge, comprehension, reflection. It is clear that the challenge stage purpose is to actualize previously acquired knowledge. The comprehension stage consists in acquiring new knowledge on one or another scientific problem, and the reflection stage is designed to generalize the acquired knowledge, as well as to form the student's own point of view, to encourage the continuous search for new sources of information and its analysis. It has been proven that the methodology and technology of teaching English in language and non-language high schools, although it has many common features and similarities, but also has significant differences. The article analyzes the problems that an English language teacher in a non-speaking university may face, such as: low level of foreign language proficiency of students, low level of motivation of learning English, passivity of students in classes, as well as concentration only on specialized subjects. Several technologies for the formation of critical thinking in English language classes at non-language high schools are proposed: "K-W-L" tables, interactive recording systems while reading the text. At the reflection stage, the following types of work are offered: writing various types of argumentative essays on the topic that is studied, creating conceptual tables in which students can compare three or more aspects of one or another scientific problem that is studied; discussions, expressing somebody's point of view.