This investigation proposes to apply the methods of training creativity in the natural sciences to teaching a foreign language for specific purposes. This approach is based on the testing of foreign language competencies in different countries, on the task of training higher education specialists, including foreign language training, on the requirements for learning foreign languages, formulated by the European institutions, and on the requirements for specialists in EU. The methods of teaching creativity of specialists in the natural sciences are based on Molyako's (2008) five strategies of creative design activity. Their practical application demonstrated in teaching physics has been used in teaching English for specific purposes. The analysis of the results of the application of the proposed methods was carried out based on a questionnaire by Popek (2000), which allows differentiating persons with creative aptitudes. The results of the analysis indicate the feasibility of applying the proposed methods for the creative development of personalities following the needs of modern social relations, focused much more on synthesis and interconnection than on the analysis of individual phenomena and processes.