This paper presents an estimation model for the restoration time of high voltage distribution line, Restoration time records are collected, which are associated with high voltage distribution lines damaged by existing four earthquakes. The multiple linear regression analysis is applied to investigating key parameters to estimate the restoration time. The proposed model makes use of on-line data called "CARRIER" such as on and off switch conditions on electric power system in order to reduce uncertainty for the estimation. Finally, The accuracy and effectiveness of the proposed model is discussed while compared with existing models.