This paper proposes the new frequency model of haptic information focused on the vibration component in friction force. Recently, haptic information is attracting attention from many areas as the tertiary media following the audio and visual information. However, due to the characters of the bidirectionality and self-reference, treatment is difficult as compared to the other sensory information. Unified representation method still not been established. Therefore, this paper focuses on the vibration components of friction force in rubbing motion against environmental surface in particular. The friction force in rubbing motion is measured for broadband by using the 2-DOF system constructed by two linear motors. For the quantitative evaluation of the frequency domain, cepstral analysis which is the method for voice-print analysis is applied. The effectiveness of the proposed model is shown by performing experiments and analysis with three different environmental surfaces. Moreover, this paper presents the identification for each parameters of the model from the acquired data, and construct a accurate model of the friction force for each environment.