Individual animals consistently differ in their response to conspecifics. Ideal experimental design for animal personality research requires repeated measurements under identical conditions. However, commonly used methods often involve non-standardized stimuli of conspecifics like real encounters with donor animals or presentation of mirror images. To address this issue, we developed a green anole robot to perform display behaviors and used it to investigate consistent individual differences in boldness, responses to the displaying robot, and correlation between these behaviors. Subject green anoles showed moderate repeatability in duration of gaze at the robot conspecifics and high repeatability in boldness after a simulated predator attack. This suggests that green anoles have personalities in anti-predator contexts and responses to conspecifics. In terms of behavioral correlation structure, within-individual contribution was small, while between-individual correlation was positive and significant. Specifically, bolder individuals paid more attention to the displaying robot. The positive correlation could be explained either by (1) behavioral syndrome across anti-predator context and aggressive encounters with conspecifics or by (2) cognition-personality link underlying boldness and attention paid to surroundings. Moreover, this study highlights the effectiveness of robotic animals for providing standardized stimuli of conspecifics, which would be a powerful tool for animal personality research.