Shape memory alloy (SMA) is a novel functional material and has found increasing applications in many areas. Recently, research efforts have been extended to using SMA for control of civil structures. This paper presents a review of applications of the SMA materials for passive, active and semi-active controls of civil structures. First, an overview of the characteristics of SMA is presented. The shape memory effect (SME) and pseudoelasticity, two major properties of SMA associated with the thermal-induced or stress-induced reversible hysteretic phase transformation between austenite and martensite, are reviewed. These unique properties enable SMA to be used as actuators, passive energy dissipators and dampers for civil structure control. This paper then reviews current research using SMA-based devices for passive, semi-active or active control of civil structures. The operation mechanism, design and experimental results of these SMA-based devices are also presented in the paper.