This article presents the results of scientific-pedagogical research, which consisted in identifying, what are the best strategies of stimulation of students' interest in the teaching by competency-based approach studying the works of Latin American scientists. With support in the pedagogic-comparative study the author has found out that in the Mexican education system the competency-based approach has been implemented since 2009 through the new national educational policies and Reform of Basic Education in which documents it is argued that competence means putting in play knowledge, attitudes, skills and values for achieving purposes in certain contexts and situations. One of the key tasks of the teacher is to lead and keep the attention of his/her students towards certain goals. Motivation to learning represents the socio-emotional or psychosocial variables (social identity, attitude to the subject, motivation), involved in learning on par with the educational variables (teacher, methodology, learning context); individual variables (subject learning abilities, aptitudes, needs, personality); socio-demographic variables (student's age, sex, socio-economic and socio-cultural level); sociopolitical context variables (importance in the society of knowledge that provides the subject). The study has showed that the best strategies for stimulation of students' interest in the learning by competency-based approach, following the Latin American scientists, are, among others, modeling, adapting, making the content of the studied discipline "accessible" to the student's needs; developing students' autonomy in learning; promoting conscious learning; establishing dynamic and equitable system of interrelations in the class; creating positive psychological environment; raising the illustrative and dynamic teaching; ensuring the self-control and self-regulation; using the error as part of the learning process (and not as punitive).