Montessori is a method of educating children based on the research and development of Maria Montessori, an Italian physician and educator (1870-1952). The Montessori method of education is recognized by the international community and has been applied to primary and secondary schools in many countries around the world. In the article, the author presents some general issues about Montessori education method and provides activities to apply this method in scientific discovery activities for preschool children based on the goals of the field of cognitive development and content for scientific discovery activities, thereby to promote children’s active activity, to stimulate their curiosity in discovering things and phenomena around them, to train children’s skills and lay the foundation for learning at all levels for continuing education and lifelong learning.