Specific heat of the bulk amorphous Zr-Ti-Cu-Ni-Be alloy and different heat-treated samples has been measured in temperature range from 4.5 to 30K. The specific heat result can be well fitted by electronic and phonon contributions. The value of electronic specific coefficient γ is much bigger than other samples and the Debye temperature ΘD increases regularly from amorphous to equilibrium crystallized phase. The different behaviors of different samples are interpreted primarily in terms of electronic density of states and Debye model.