The article provides the rationale for integrated development of speaking and writing competences and determines peculiarities of integrated skills development of prospective university English teachers. The analysis of mechanisms involved in speaking and writing (reproduction, selection, combination, construction, anticipation, discursiveness), structure of the speaking (knowledge, lexical, grammar, linguosociocultural, speaking, reflective skills, communicative strategies) and writing (knowledge, lexical, grammar, linguosociocultural, writing, reflective skills, communicative strategies) competences as well as the correlation between the components proved the expediency of the integrated development of the target competences of prospective university English teachers. Integrated development of speaking and writing competences of prospective university teachers of English should include integration of: 1) methods (content-based instruction, task-based learning, project-based learning, teaching with technology etc.); 2) tools; 3) contents and materials; 4) procedures. Integrated development of speaking and writing competences should follow the following stages: introductory, basic. The introductory stage includes the development of lexical skills, communicative strategies in speaking and writing, awareness of the structural and linguistic features of academic and professional oral and written discourse (discussions, debates, reports, presentations, essays, teaching materials etc.). The basic stage focuses on the integrated development of speaking and writing skills with the use of different methods (for example web-quests, case analysis etc.).