The article discusses the challenges of employment for higher education graduates and justifies effective approaches to developing employment skills and further career growth. It is noted that the key skills for employment include multitasking, leadership, critical thinking, creativity, determination, communicativeness, the ability to present activity results, flexibility, decision-making, teamwork, responsibility for achieving common goals, and so on. Approaches to organizing educational activities and skill development methods are highlighted: a differentiated approach, student-centered learning, the use of active teaching methods, networking, mentoring, coaching. Traditional and innovative methods of graduates' skill development are singled out (project method, puzzles, mind maps, discussions, debates, interactive mini-lectures, presentations, problem-based learning, inquiry-based learning, case method, etc.). Emphasis is placed on the activities of university structural units in providing comprehensive preparation of graduates for the job market, covering skills such as successful resume writing, interviewing, job interviews, adaptation to the first job, lifelong learning, and time management.