This paper deals with the transportation of heat by an oscillatory flow that is sinusoidal oscillatory flow superimposed with steady flow. The velocity and temperature fields, transportation rate of heat, work rate and transportation efficiency of heat were investigated by numerical analysis. The results obtained are (1) the phase difference between the velocity and temperature variation remained the same as that of the sinusoidal oscillatory flow, (2) in the upstream thermal energy is transported mainly by steady flow component and in the downstream mainly by oscillatory flow component, and (3) transportation rate of heat by the present oscillatory flow is less than the arithmetic sum of those by steady flow and by sinusoidal oscillatory flow, (4) transportation rate of heat was increased in a large amount by superimposing steady flow on sinusoidal oscillatory flow, (5) on the other hand, work done by the present oscillatory flow increased little.