In a fast ignition regime, with the conditions of high-density and low-temperature, the degenerate plasma can be obtained during the compression phase. In this paper, the effect of degeneracy in the energy transmitted from ions to electron collisions and in the radiation emissions from electrons is studied. The fuel ignition, propagating burn and the target energy gain for a typical fuel are calculated using the governing equations for ions and electrons in two-nodes model, the hot spot with D/T fuel in node 1 and the cold fuel surrounding ignitor with D/3He in node 2 by evaluating the degeneracy effect. In the obtained extremum ignition conditions, the target gain, minimum ignition temperature and the areal density of the hot spot are obtained as 145, 5 keV and 5.4 g/cm2, respectively
