Internet banking is becoming increasingly popular throughout the world due to its convenience and low cost. The security issues surrounding internet banking are always the focus of both banks and customers. Although much emphasis has been laid on advanced security technology and the human factor in security, there is little research that aims to fully understand customer awareness and behaviour of internet banking security in China. This paper presents the findings from an initial study conducted to evaluate current levels of customer awareness of internet banking security and to map out the linkage between awareness and behaviour. Some of the findings raise implications which call for further investigation.