Today creativity is a common subject between psychologists and pedagogues but rarely who is dedicated to the question how to encourage a man to create at a young age especially when it is about an art such as music. Several pedagogues and scientists dedicated their time to the terms creativity, improvisation and encouraging children’s music creativity. In this work there are theories about terms, their connections and also the meaning of these terms inside the Croatian language. There are world scientists who have practiced in musical pedagogy but there are also the Croatian ones. Some of them are famous, like Carl Orff, but some of them aren’t but they gave us an example through their experience spent with children. With the help of their records, today these examples are used in musical and children’s education. Except for these records, in their work it is shown what kind of surrounding is necessary for children to make music and the accent is on the kindergarten surrounding because the earliest stage is the key for a child’s musical experience. In that stage musical creativity in class and in music school are also mentioned. This work also contains mentioning of working with children who are more advance in music, who are talented and or go to music school. Every piece of the work contains good and bad accesses of educators, teachers and parents in encouraging children’s musical creativity. The last chapter shows a project called Animals-instruments which was created and executed in Curriculum development of early upbringing’s practices. All rights of sharing events and photographs are approved by the kindergarten.