The article discusses the problem of fears experienced by 3-4-year-old children. Theoretical analysis of fears and anxieties is presented on purpose to find out the possibilities to solve the problem of fears in children; recommendations to educators and families raising 3-4-year-old children who face the problem of fears are presented. The article raises a problematic question: what are common fears of preschoolers and what are possibilities to reduce fears? Research aim: to reveal the fears experienced by preschoolers and possibilities to reduce them. Research objectives: to substantiate the phenomenon of the fear in a preschool age, to determine the opinion of parents raising preschoolers, and the opinion of children about the fears they have experienced, to reveal possibilities to reduce preschoolers’ fears. Applied methods: analysis of scientific literature, written survey, oral survey, qualitative and quantitative analysis of the obtained data. Research results: preschoolers experience various fears: fear of strangers, unfamiliar places, things, phenomena. Fears of preschool children are specific and related to a child’s age and experience. Many fears go away with the time by themselves. Fearful children become anxious, angry and it is harder for them to concentrate. Children’s fears are related to separation from parents, unfamiliar environments and individuals, animals, supernatural things. Parents acknowledge that their children face a variety of fears and they try to help their children to overcome these fears. Interviews with children revealed that children are most often afraid of other children, animals, imaginary creatures, unknown situations or individuals. Children associate the overcoming of their fears with the help of people close to them (parents and teachers). Close family relationship, opportunity to talk, joint activities with other children, pedagogical help and keeping to the rhythm of the day help to overcome fears. In this process it is important cooperation between family and educational institution, development of teachers’ competencies and attention to individual needs of a child. Overcoming fears is related to joint efforts of parents and teachers, preparation of educational environment, proper presentation of educational materials.