Road space must be safe and secure for pedestrians to use. In this study, we focus on the frontal EEG beta frequency band power (BP) to evaluate the subject's consciousness in road space in real time. We propose a new method of evaluation of the sense of security by using BP. We have implemented our preliminary system that can measure frontal EEG during a VR traffic environment experience. The system can visualize the recorded behavior of the subject in the VR system, including head and gaze motion. We hypothesize that BP is related to the subjective evaluation of a sense of security, and we conduct gaze experiments and traffic experiments to investigate this hypothesis. In the gaze experiment, it was observed that gazing at a specific object increased the BP response compared to the eye-closed relaxing state. In the traffic experiment, it was observed that the observation of each traffic environment, including moving vehicles, increased the BP response compared to the eye-closed relaxing state. In some cases of the experiment results, BP response tends to be higher as the subjective evaluation of a sense of safety goes lower.