Solution of a class of second-order vibration matrix equations is investigated, which are widely used in vibration control fields. In the case of the eigenvalues with the Jordan diagonal canonical form, a parametric method is proposed. The proposed method offers the complete parametric expressions of two unknown matrices in the second-order vibration matrix equation, and the parameters presents all the degrees of freedom for the solution of second-order vibration matrix equation. Finally, by using the proposed parametric method to solve a numerical example and the results show the simplicity and effectiveness of the proposed parametric method.