The topic of this thesis is gifted children and their activities in kindergarten. Within the mentioned topic, the thesis explains the definition of giftedness, a comparison before and today and characteristics by which it can be recognized. It also explains the factors that play a very important role in the development of a gifted child: the environment in which the child grows, the family that surrounds him, the upbringing and the role of the educator in the same. As a very important factor in the development of a gifted childis NTC (Nikola Tesla Center), Dr. Ranko Rajović's system of teaching that is focused on the development of cognitive abilities. The most important activities for accomplishing mentioned abilities are motor activities and children's learning through associations. At the end of the thesis, there are activities that can be performed with a gifted child in pre-school institutions with specific examples of those activities.