The topic of this paper relates to art activities for preschool children in the Museums. The aim of this paper is to give few examples of different art activities for preschool children in different art areas with intention of the sustainability of native heritage of the island of Lastovo. The main purpose of this research is to induce desirability in preschool children for the sustainability of native heritage by presenting the content of native heritage in the Museum and Rector`s Palace to preschool children and by implementation of art workshops in the kindergarten. The research included nine children at age of three to seven. The research is conducted in mixed kindergarten group in the Kindergarten Lastavice, later renamed in Kindergarten Biser Lastova. The research wanted to determine if presenting the content of native heritage in the museum of church of saint John the Baptist and Rector`s Palace and implementation of art workshops in the kindergarten, will induce desirability in preschool children for the sustainability of native heritage of the island of Lastovo and to determine if are there any activities for preschool children in the Museum and Rector`s Palace. The results of the research demostrate that there are not any activities for preschool children in the Museum and Rector`s Palace. As well the results of the research demostrate that after presenting the contect of native heritage in the Museum and Rector`s Palace and after conducted art workshoops in the kindergarten, in preschool children induces desirability for the sustainability of native heritage of the island of Lastovo.