Random field induced spontaneous excess moments appear in field cooled single crystals of diluted Ising antiferromagnets. Here we report results from low temperature measurements of field cooled (including zero field) magnetic hysteresis loops parallel and perpendicular to the c-axis of a single crystal of composition Fe 0.6 Zn 0.4 f 2. We find that weak static ferromagnetic excess moments attained on field cooling give rise to an apparent exchange bias of the magnetic hysteresis loops, whose magnitude is controlled by temperature and the strength and direction of the cooling field. Random field induced temporal excess moments only become observable in cooling fields larger than 1 T applied along the c-axis direction of the Fe 0.6 Zn 0.4 f 2 single crystal. The antiferromagnet FeF 2 1 is a physical realization of a model 3d Ising system 2 as well as an important spintronic material 3,4. At temperatures below the Néel temperature, T N = 78.4 K, of FeF 2 an excess magnetic moment develops, that near T N decays with a critical exponent characteristic of 3d Ising systems 5. This excess moment gives rise to an apparent exchange bias associated with the vertical shift of the hysteresis loops occurring when cooling the sample through T N in a finite magnetic field 6. The excess moment is rigidly locked to the cooling field direction and is virtually unaffected by any magnetic field changes in the antiferromagnetic state. This is reflected in a field dependent rapidly saturating thermo-remnant magnetization (TRM) and zero isothermal remnant magnetization (IRM) at all accessible fields and temperatures below T N 6