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A long-time variation in the magnetic structure of Ce_0.98La_0.02Ir₃Si₂ has been studied by magnetization and time-resolved neutron scattering measurements. CeIr₃Si₂ is the first material in which the long-time variation in magnetic structure was observed in three-dimensional uniform magnets. Similar long-time variations in magnetic structure have been observed in several uniform materials. In order to clarify whether the long-time variations in the magnetic structure of these materials do not originate from randomness due to unexpected impurities or imperfections, the time variation behavior in a material with embedded randomness has been examined. The time variations observed in the magnetization and neutron scattering measurements of Ce_0.98La_0.02Ir₃Si₂ are basically the same as those observed in CeIr₃Si₂. Present results have shown that a peculiar long-time variation in the magnetic structure of CeIr₃Si₂ is not caused by inevitable randomness in a sample but is its intrinsic property.