Polymeric components are used in accelerator and target environments where intense neutron and gamma fields are present. Nine commercially available greases were selected to study their radiation-induced functional degradation for use in spallation neutron sources and in facilities producing radioactive ion beams. Grease samples were irradiated in the mixed neutron and gamma field of a nuclear research reactor up to several MGy of total absorbed dose. Methodologies for the irradiation and post-irradiation examination of grease samples are developed. The different degree of radiation tolerance of the tested samples was compared. Some of the greases showed dramatic radiation-induced changes of their physical properties, while others remain stable up to the highest values of delivered absorbed dose.