This paper discuss some issues and challenges of entrepreneurship education in tertiary institutions in Nigeria. This is based on the provisions of the National Policy on Education (2004) which lays emphasis on the need for beneficiaries of vocational and technical education to be entrepreneurs so as to achieve selfemployment after graduation and also to eliminate poverty, hunger and disease and the United Nations’ Millennium Development Goals (MDG) which are to be realized before 2015. It highlight areas, in entrepreneurship concept.