Load bearing structural members in a wide variety of applications accumulate damage over their service life. From a standpoint of both safety and performance, it is desirable to monitor the occurrence, location, and extent of such damage. The sparseness and errors of measured data have to be considered during the parameter estimation of structures. In this paper we introduces parameter identification algorithm by a system identification (S.I.) using static and dynamic response. To study the behaviour of the estimators in noisy environment using Monte Carlo simulation, a data measured perturbation scheme is adopted to investigate the influence of measurement errors on identification results. To examine the influence of the measured data, noisy and number of load case(measured mode), measured Dofs, initial values are used The assessment result by dynamic and static response were compared, and the efficiency and applicabilities of the proposed algorithm are demonstrated through simulated dynamic and static responses of a two dimensional truss type structures.