The purpose of the research was to determine differences between the speed results of the steps to the left and to the right for the examinees with the dominant left and right hand. Research was made on 232 examinees of male and female sex, between ages 5.5 and 7.2. Speed was measured to the left and right for the examinees with the dominant left, that is, right hand. There was no significant difference established by ANOVOM in the speed performance to the left and right, although the test Steps to the left side have on average (AS=3,81 s) been performed best by the examinees with the dominant left hand. Somewhat worse results were on average achieved by examinees (AS=3,89 s) with the dominant right hand in the test Steps to the right side. Despite the fact that there was no statistically significant difference between the two groups of children, results point out to the symmetrical bilateral transfer. It is necessary to perform additional research, which would include genetic predispositions of children, previously acquired motor activity experience, which would raise motivation level and set longer travel distance in measuring speed of the step in the side to 15, that is 20 meters, to explain the results, relations and differences between left-handed and right-handed children.