Given that the disability of population, unfortunately, has negative dynamics to increase its number, it is increasingly attracting equal and free access to education for all categories of population, especially people with special needs. That is why the need to identify the problems faced by people with disabilities in exercising their constitutional right to higher education is becoming urgent. The methodological basis for writing this article is a system of general and special methods of scientific knowledge. The authors focus on the existing barriers to higher education for people with disabilities. It is stated that the legislation of Ukraine, which regulates the research issue, contains legal gaps and conflicts that complicate the opportunities for people with disabilities to obtain higher education. It is noted that higher education institutions need to pay more attention to the material and technical equipment of the educational process, which will increase the number of people with disabilities to obtain higher education. Also, the problem of psychological adaptation and socialization of people with disabilities in higher education is particularly acute. Of particular relevance is the need to identify the problems faced by people with disabilities in exercising their constitutional right to higher education that is becoming urgent.