The thermoelectric power of the amorphous nonmagnetic alloy system Ni 81.5B18.5-yPy (y = 0, 1.8, 3.7, 7.4, 13, 16.8 and 18.5 at % P) has been investigated in the temperature range between 77 and 350 K. The resistivity and temperature coefficient of resistivity have also been measured. The high temperature slope of the thermopower, the resistivity and the room temperature coefficient of resistivity are simultaneously explained within the framework of the extended Ziman model. In performing the corresponding calculations we have chosen the phase shifts in a such a way that they reflect the d-band filling on alloying (deduced from the specific heat measurements). An unexpectedly large negative thermopower is obtained for the boron rich alloys. A possible origin of a « giant » contribution to the thermopower of these alloys is discussed