Children's curiosity is innate because all people are curious human beings. Curiosity helps us to learn and stimulate one's own motivation. When learning is stimulated by curiosity, children activate their intellektual potentials much more than through activity which is uninteresting. Joy, which children show while having the opportunity to discover something new becomes a supporting faktor of curiosity. The child's entering an institution changes it's living and the the kindergarten teacher becomes the child's main person. The kindergarten teacher stimulates the curiosity of children by making sure that the children get adequate conditions and by respecting their individual differences. This is challenge and obligation at the same time. The part of the kindergarten teacher is to support children's interests and accepting them, because in this way the kindergarten teacher supports curiosity, which gives the child the opportunity of better understanding specific problems. This work is based on an implemented research program which took place in the institution DV „Radost“ in Crikvenica. The participants were children of infant nursery and their kindergarten teachers. The research is based on documenting children's activities with the aim to recognize and ensure a condition of supporting children's curiosity. The kindergarten teachers tried to reach this aim by interventions on the base of reflection.