This study analyzes the error factors of cable tension estimation method using linear regression and suggests the upper and lower limits of tension error. The tension estimation method using linear regression is affected by errors such as boundary condition, natural frequency, cable length, and mass density. The boundary condition error analyzes the error rate for the case where the error occurs the greatest. The error of mass density and length is analytically derived, and the error of measurement natural frequency is analyzed by Monte Carlo simulation. Among these errors, the boundary condition error and the measurement natural frequency error are expected to be able to present the upper and lower limits of the error that can be caused to the estimated tension by the corresponding error factor.