SmAlO3 ceramics samples were prepared via the solid-state reaction route. The low-frequency (20-10(7) Hz) dielectric properties were investigated in the temperature range from 100 to 800 A degrees C. It was found that SmAlO3 shows a flat dielectric plateau with the value about 20 independent frequency below 220 A degrees C. In the temperature range higher than 220 A degrees C, two oxygen-vacancy related Debye-like relaxations (P (A), P (B)) and a non-relaxation hump (P (H)) were observed. Our results indicate that: (1) the low-temperature relaxation (P (A)) is associated with the bulk effect due to hopping motions of oxygen vacancies; (2) the high-temperature relaxation (P (B)) results from the sample/electrode contact effect; and (3) P (H) is suggested to be a phase-transition-like behavior as a result of the oxygen-vacancy ordering process.