Local structure of Y(1-x)Yb(x)Ni2B2C series synthesized at high pressure 8 GPa has been studied using EXAFS. Measurements were performed at the Ni K-edge in temperature range 5-300 K. The results show that the Debye-Waller factor for Ni-Ni bond in the parent YNi2B2C compound is characterized by the Einstein temperature O(E) = 350 K, while a minimum value O(E) = 300 K is reached for the compound with = 0.025, which has the highest critical temperature T(c) = 12.5K of the superconductive transition. This correlates with the further suppressing of superconductivity and with the appearance of the local magnetic moments in the investigated Y(1-x)Yb(x)Ni2B2C series for x > or = 0.05 compounds. Observed changes in the local electronic and the local crystal structure of this system as a function of Yb concentration and of temperature were explained in the frame of the band filling effect.