Consider the neutral delay differential equationddt[x(t)-P(t)x(t-t)]+Q(t)x(t-d)=0,???t=t0(*)WhereP,Q?C([t0,8],R+),t?(0,8)andd?R+. We obtain several sufficient conditions for the oscillation of all solutions of Eq. (*) without the restriction?t08Q(s)ds=8.