The dissertation research is devoted to the problem of increasing the level of physical training of students in modern conditions, in particular, the methodology for developing speed and strength abilities of students of 10th–11th grades using judo in the process of physical education has been theoretically substantiated, developed and experimentally verified. At the same time, systematic judo classes are a means of physical education of students, improving health, developing physical qualities and abilities. It is worth noting that judo classes contribute to the development of speed and strength abilities, general and strength endurance, flexibility, coordination of movements, increasing physical performance, and forming moral-volitional and mental qualities of students of secondary education institutions. Speed-strength preparedness achieved by students in the process of specialized training contributes to achieving high results in sports and professional activities, has a positive transfer. Also, the variety of labor operations in different spheres of a student's life requires a high level of development of speed and strength abilities. Thus, special attention is paid to the fact that because of systematic judo classes, the intensity and concentration of attention increase, physical qualities, especially speed-strength ones, develop and improve. Using a questionnaire, the following aspects were investigated: the motivation and attitude of students of grades 10–11 to sports in general. The main motives that encourage students to engage in physical activity and physical exercises; the impact of physical education and sports activities on students, as well as the impact of judo classes on the development of physical qualities and speed-strength abilities. The level of physical development of students was investigated using anthropometric methods. To determine the dynamics of indicators of the functional state of judo students during the experiment, the functional state of students in grades 10–11 was checked. The influence of judo classes on the psycho-emotional state of students in grades 10 – 11 was established by determining the level of their situational and personal anxiety during judo classes. The low efficiency of students' educational and training activities is explained by the fact that they have high situational anxiety, which negatively affects the indicators of coordination and attention. It was established that the methodology for developing speed and strength abilities of students in grades 10–11 by means of judo classes during the educational and training process has certain requirements and compliance with the algorithm for performing exercises, for example: 1) determining the level of physical fitness of students; 2) selecting effective physical exercises for the development of speed and strength abilities of students; 3) selecting rational methods for performing a set of physical exercises; 4) determining the duration of the period of development of speed-strength abilities and the number of classes. The algorithm for managing the development of speed-strength abilities of students in grades 10–11 using judo is built based on designing and adjusting the educational process, taking into account a personality-oriented approach to the choice of motor activity. This model determines the goal of designing levels of mastery of martial arts, and also indicates an adequate and rational choice of methods and means to achieve the goal according to the levels of physical development and corresponding fitness of students; the structure of the content, and conduct of training classes is characterized, and the level of mastery of the content of the training process in judo is monitored. It was established that the main means of developing speed and strength abilities during judo training sessions for judo students were special physical exercises, judo techniques on the stand and on the ground, and outdoor games with elements of martial arts. The quality and speed of performing physical exercises depended on the level of physical and technical fitness of the students.