In this study, fundamental examination of the analysis technique based on chaos theory was carried out for the purpose of proposing the technique for evaluating the airflow characteristic of cross-ventilation airflow. The proposed techniques are Lyapunov spectrum analysis, maximum Lyapunov index, correlation dimension, the analogy method. These results were as follows; 1) From Lyapunov spectrum analysis and a correlation dimension, it can presume diffusion situation and cross-ventilation airflow pathway at the point of measurement etc. 2) From maximum Lyapunov index, significant differences were measured out by the difference of measurement points, therefore it can be said that it is analytical method that can indicate the strength of the "fluctuation". 3) From analogical method results, it is possible to evaluate the prediction accuracy of the airflow velocity variation by the prediction error.