The object of the article is the “dying process” of a dear one, as lived by himself, his family, and the medical personnel, and as described and analyzed by the psychologist Elisabeth Kübler-Ross. First, the patient’s reactions to death were presented: denial and isolation, anger and rebellion, bargaining, depression, and acceptance. The next part describes the reactions of the family in the face of the prospect of death: the stage of rejection and isolation, the stage of anger and rebellion, the stage of compromise and making pacts, the stage of experiencing depression, and the stage of acceptance. At the end of our reflection, we indicated the essential elements of an “end of life ethics”, which would permit us to approach, in a more conscious and responsible manner, “our” mysterium mortis at a personal level, in the family and in hospital. These elements are: the attitude of listening, valuing the past as a legacy for the future, the mediation function in and through the reactions of the sick person, the attitude of respect towards the person’s choices of values in the face of death, understanding the sick world, help and pastoral service, and acceptance of failures.