Composites reinforced with thin inclusions which elastic moduli are much larger than the moduli of the matrix phase are considered. Such inclusions are characterized by two small parameters: the “geometrical” parameter \(\delta _{1}\) that is the ratio of the minimal and maximal linear sizes of the inclusions, and parameter \(\delta _{2}\) that is the ratio of the characteristic elastic moduli of the matrix and inclusion materials. The principal terms of the asymptotic expansions of elastic fields in the medium with thin stiff inclusions are used for the solution of the homogenization problem by the effective field method. The method predictions are compared with experimental data.