The aspects of dependence of morpho-functional and psycho- physical indexes of children of preschool age are considered from the features of their motive asymmetry. Certain divergences are exposed between right-handed and left- handed children in some indicated indexes. Reasons of forming of such motive asymmetry are certain. The necessity of its account is indicated in the process of educational activity of under-fives. Directions optimization of process of physical education are rotined in preschool educational establishments. The measures of improvement of the psycho-physical state of children are offered.