The teaching of computer science for primary school children provides numerous potentials for creative expression, including the creation of one's musical compositions. After a theoretical introduction and an analysis of the current state of computer science and music education in the Croatian elementary educational system, this paper provides information on the advantages of music education for children's development, as all as what opportunities modern information and communication technology provides for children's creative expression in this area. By following pedagogical guidelines according to the listed literature, an analytical matrix was drafted to further analyze software for digital music production intended for the elementary school-age group. Using the mentioned matrix, the programs were presented and further analyzed. The tools that were analyzed included the free online tool Splice Sounds Beat Maker for rhythmic sequences creation, the online tool Easy Music Composing for Kids for creating musical melodies, the Classic For Kids internet tool that combing both musical melody and rhythm creation, the Incredibox virtual composing tool using a simple user interface for more advanced musical composition and a free program for more professional music creation Magix Music mix. Following the results obtained by analyzing the software through the drafted matrix, a set of conclusions was made on how to best implement the software in the computer science subject within the Croatia elementary school educational program.