The conflict adaptation effect (CAE) which was the most important empirical evidence for conflict monitoring theory is that the interference effect was smaller after incongruent trials than after congruent trials in the congruency tasks. However, It is not known whether CAE relies on a single central resource of cognitive control, or on a collection of independent control mechanisms that deal with different types of conflict. Task-switching designs and factorial task-crossing designs were usually used to study the domain of the CAE. In the present research, we used two different factorial task-crossing tasks which respectively included flanker task and Simon task, Stroop task and Simon task to explore the scope of the CAE. The experiment 1 experiment 2 are both factorial task-crossing design which contains letter flanker task and Simon task, Stroop and Simon task separately, and the similarities between the two experiments are that their stimulus-response set is 4. When the stimulus-response set was 4 in the flanker task and Simon task and in the Stroop task and Simon task , the result indicated that only within-task CAE was present, and there was no cross-task CAE in two tasks. These results indicated when the stimulus-response set increased to 4 to eliminate the feature integration effect and control the influence of dimension repetition, the CAE acted task-specific, and the conflict monitor system was not only monitor the amount of conflict but also identified the source of the conflict. In addition, it also suggested that the previous experience of conflict resolution was important to the CAE except for conflict monitoring.