The dependence of icosahedral transformations on the composition, concentration and configuration in Cu-based bimetallic clusters was studied by using molecular dynamics with the embedded atom method. The results show that the transformation is strongly related to the release of excess energy and can be controlled by tuning the composition, concentration and configuration. The transformation can be easily induced by the addition of Co while it is difficult in the case of Ni. The transformation temperature Ttrans decreases with the increase in Co concentration and increases with the increase in Ni concentration. The transformation can be controlled by fabricating different configurations and distributions of the composition.