The paper consists of two parts. In part one the author outlines conditions of introducing bioethics as lectures in university faculties of medicine and theology. After a few years of intensive development of bioethics, now some stagnancy can be observed. The author analyzes reasons for slowing down the intensity of that development. In part two the author reports of teaching activities in the Institute of Bioethics of the Pontifical Academy of Theology in Cracow. The teaching is on two levels. There is a basic course and postgraduate studies for theological and philosophical students. Also courses and conferences for health care workers are held.