The paper presents a study on dynamic stabilization of filamentation instability driven by an electron beam introduced into a plasma. The results presented in the paper demonstrate that the filamentation instability is successfully stabilized by the dynamic stabilization mechanism, in which the electron beam axis oscillates. The dynamic stabilization mechanism for plasma instability was proposed in the paper [Kawata, Phys. Plasmas 19, 024503 (2012)]. In general, instabilities emerge from the perturbations of the physical quantity. Normally the perturbation phase is unknown so that the instability growth rate is discussed. However, if the perturbation phase is known, the instability growth can be controlled by a superimposition of perturbations imposed actively: if the perturbation is introduced by, for example, a driving beam axis oscillation or so, the perturbation phase can be controlled and the instability growth is mitigated by the superimposition of the growing perturbations.