The paper identifies and defines morality in reference to moral development, moral upbringing, and moral behavior in children. Child-rearing in the family and institutional upbringing, which start in early childhood and continue until adolescence, significantly affect the forming of an individual’s personality. The aim is to raise awareness of moral values as the foundation of upbringing that will shape a moral personality, a moral individual equipped to brave all the challenges of life responsibly and in line with the system of values shared by his or her cultural and civilizational sphere. Emphasis is put on upbringing imbued with moral and human values, appropriate for the child’s developmental stage. Moral values are upbringing guidelines for parents, educators, and guardians, a pathway towards the shaping of an individual’s moral behavior. The paper describes specific activities in working with children aimed at encouraging the adoption and development of human values such as responsibility, tolerance, friendship, nonviolence, respect, care for others and solidarity, cooperation, and righteousness. A child adopts these values during play, thus building his or her personality. Throughout the immediate experience of play, the child fosters new values and gains insight into human relationships and the consequences of his or her own actions. The child becomes aware of his or her responsibility towards himself or herself and towards his or her loved ones, develops new friendships, and builds friendly relations. The child adopts social skills through active engagement and builds himself or herself as an individual. This important role in a child’s upbringing is assumed by parents as primary educators of their children. The structure of the role of the parent in relation to the child today differs significantly compared to the role before. Parents have a responsibility to the child, but also to society. It is important to become aware of the responsibility of parenthood in such a significant role, which is assumed almost automatically in a person’s life. Quality preparation and building of an individual for family and social life since the earliest age is vital because family is the foundation of society. The centerline of upbringing is the very person, and the pinnacle of education is developing a virtuous person and mastering virtues as good character traits.