Excessive vibration of the beam with varying axial speed could be suppressed by nonlinear targeted energy transfer. Parallel nonlinear energy sink (NES) devices were attached to the beam for absorbing the vibration energy. Galerkin method was applied to discretize the equation of the integrated translating beam–NES system derived from Newton’s second law. The numerical method was used to display the effect of vibration suppression. Results showed that the parallel NES could effectively suppress the vibration of the axially moving beam. By contrast with the single NES under the same condition except the attached mass, not only the one was less and the suppressed effect was better.