This paper is to investigate experimentally the effect of the curing temperatures on autogenous shrinkage of the high strength cement mortar composites incorporating fly ash(FA) and blast furnace slag(BS) ranged from 0~30%. The curing temperatures ranged from $5^{circ}C$ to $35^{circ}C$ were chosen as parameters to consider the climate condition in the field. As results, an increase in curing temperature led to increase the autogenous shrinkage. The increase of FA resulted in a decrease of the autogenous shrinkage due to the increase of RH in pore, while the use of BS increased the autogenous shrinkage compared with that of plain mixture. For the relationship between equivalent age and autogenous shrinkage, at early stage, good agreements of autogenous shrinkage between different curing temperatures were obtained due to low apparent activation energy($E_a$), while at later age, there were significant variations among the autogenous shrinkage depending on the curing temperature. To achieve better agreements of the autogenous shrinkage among different curing temperatures, it is necessary to obtain accurate $E_a$ reflecting mixture, material and age condition. From the sphere of the paper, it is believed that the effect of the curing temperature on autogenous shrinkage can be evaluated by equivalent age method if accurate $E_a$ is provided.