The thermo-emf Delta V and temperature difference Delta T across the boundary were measured as functions of r and I for the touching p- and n-type Cu/Bi-Te/Cu composites composed of t (Bi-Te) = 2.0 mm and t(Cu) = 0.3 mm, where r is the distance from the boundary and I is a direct current producing Delta T which flows through two Peltier modules connected in series. The resultant Seebeck coefficient alpha across the boundary is obtained from the relation alpha = Delta V Delta T. As a result, the resultant \alpha\ of the touching p- and n-type composites have a great local maximum value at r approximate to 0.03 mm and decrease rapidly with further increase of r to approach the intrinsic \alpha(Bi-Te\). The maximum resultant alpha of the p- and n-type composites reached great values of 1,043 and -1,187 mu V/K at 303 K corresponding to I = 0.8 A and of 1,477 and -725 mu V/K at 360 K corresponding to I = 2.0 A. Reflecting the temperature dependence of the intrinsic alpha(Bi-Te), the maximum alpha of the p-type composite increases with an increase of T, while that of the n-type one decrease with an increase of T. Surprisingly, the maximum alpha of the p- and n-type composites have great gradients of 8.36 and -7.15 mu V/K-2 in the range from 303 to 366 K, respectively, which are 21.8 and 134 times larger in absolute value than 0.383 and -0.0535 mu V/K-2 of the intrinsic p- and n-type alpha(Bi-Te), so that the maximum resultant alpha was thus found to be much more sensitive to temperature than the intrinsic alpha(Bi-Te). Moreover, the local Seebeck coefficient alpha (l) (r) derived analytically from the resultant alpha(r) is enhanced significantly in the narrow region below r approximate to 0.05 mm and the maximum alpha (l) values of the p- and n-type composites were found to have extremely great values of approximately 1,800 mu V/K at 360 K and -1,400 mu V/K at 303 K, respectively, which are approximately 7.3 and 6.5 times higher in absolute value than the intrinsic p- and n-type alpha(Bi-Te) at the corresponding temperatures.