TiNiCu shape memory alloy melt-spun ribbons have attracted much attention as one of promising microactuator materials due to their narrow transformation hysteresis, excellent shape memory effect and superelasticity and good thermal cycling stability. In present work, the recent development of TiNiCu melt-spun ribbons is comprehensively summarized, including crystallization behavior, microstructure, martensitic transformation behavior, shape memory effect and superelasticity. The emphasis is paid on the processing-microstructure-property relationship. Some important issues on the TiNiCu melt-spun ribbons are discussed