The article focuses on the study of cutting-edge mobile technologies and information and communicative technologies (ICT) and their application in teaching a wide range of subjects in higher education in general and a foreign language in particular. The study has shown the common teaching methods integrally embrace the ICT application: a method of passing on new knowledge (based on digital education Internet resources which facilitate a massive access to learning materials irrespective of temporal and spatial boundaries); a method of building skills (ICT application enables to create a reusable database of educational and teacher training resources and have a regular feedback, which enhances the acquisition of the material under study); a method of building new knowledge based on the experience of ICT application of the above mentioned models. The authors pinpoint the definition of the term "mobile education" from their own perspective and offer the checklist of the most efficient mobile technologies and ICT used in teaching techniques (e-mail, blog-technologies, wikitechnologies, podcasts, web-forums, e-dictionaries, information and reference internet resources, video communication means, etc.) which aim at the development of foreign communicative competence of university students. The introduction of ICT into the education process while teaching a foreign language has a beneficial influence on the achievement of the main goal of modernization in education, which is supposed to create quality education.