The stochastic resonance was investigated by the field-driven Ising model on adaptive networks.As the structure evolution probability η increases, it is found that the resonance undergoes three states: normal resonance, transition state and abnormal resonance.Moreover, we have found that the abnormal resonance comes from the π-shift-like difference of phase between the system and the driving field.This work reveals significant effects of the coevolution of the topology and the dynamical processes, which even leads to counterintuitive phenomenon.