In this paper, the effect of partial replacement of Nd by Dy atoms on the magneto-elastic properties of Nd2-x,DxFe14C (2-14-1 type) alloys with x = 0.1, 0.3 and 0.5, in a temperature range of 77 K to room temperature have been studied using MAGNETOSTRICTION measurement. The first Order Magnetic process, FOMP, was determined by measuring the temperature dependence of low field magnetic usceptibility. Results show that an indicative temperature for FOMP, Tsp, increases about 40 K with increasing Dy content, which can be due to the non-negligible role of the higher than second order terms (k4m, k6m, …) of the crystalline field anisotropy of the rare earth sub-lattice. This conclusion is confirmed via MAGNETOSTRICTION results, which show that the partial substitution of Dy for Nd increases the anisotropic MAGNETOSTRICTION. This is attributed to a stronger magneto- crystalline anisotropy. At T > Tsp, Dy partial substitution also causes an increase in the volume MAGNETOSTRICTION, which indicates a positive exchange magnetostrictive effect of Dy- Fe anti- ferromagnetic interaction.