Excessive vibrations in civil and mechanical systems can cause structural damage or detrimental noise. Structural vibrations can be mitigated either by attenuating energy from vibration sources or isolating external disturbance from target structures. Magnetostrictive materials coupling mechanical and magnetic energies have provided innovative solutions to vibration control challenges. Depending on the system's tunability and power consumption, the existing vibration control strategies are categorized into active, passive, and semi-active types. This article first summarizes the unique properties of magnetostrictive materials that lead to compact and reliable vibration control strategies. Several magnetostrictive vibration control mechanisms together with their performance are then studied using lumped parameter models. Finally, this article reviews the current state of vibration control applications utilizing magnetostrictive materials, especially Terfenol-D and Galfenol.