Electric resistivity, specific heat, magnetic susceptibility, and inelastic neutron scattering experiments were performed on a single crystal of the heavy fermion compound Ce(Ni 0.935 Pd 0.065 ) 2 Ge 2 in order to study the spin fluctuations near an antiferromagnetic (AF) quantum critical point (QCP). The resistivity and the specific heat coefficient for T 1 K exhibit the power law behavior expected for a 3D itinerant AF QCP (ρ(T ) ∼ T 3/2 and γ (T ) ∼ γ 0 − bT 1/2 ). However, for 2 T 10 K, the susceptibility and specific heat vary as logT and the resistivity varies linearly with temperature. Furthermore, despite the fact that the resistivity and specific heat exhibit the non-Fermi liquid behavior expected at a QCP, the correlation length, correlation time, and staggered susceptibility of the spin fluctuations remain finite at low temperature. We suggest that these deviations from the divergent behavior expected for a QCP may result from alloy disorder.