We have investigated the transmission of microwave signal trough the stepped impedance filter in the form of periodic microstripe. Such periodic structure can be considered as peculiar sort of the one-dimensional photonic crystal where the sequence of stop bands appears due to Bragg scattering of electromagnetic waves. It is known, that the modes (states) localized at the terminations (surfaces) of periodic structure can exist in stop bands of photonic crystals. For the considered microstripe filter we have looked for the existence of such microwave surface states. We have investigated how to tune their positions inside the stop band by adjusting the structural parameters of the microstripe. The work presents the results of measurements and numerical simulations of the transmission spectrum explained with the aid of the simple model based on the lumped element ladder filter. The results we obtained can be used in designing of microwave filers for frequency-division multiplexing, which allow to introduce the pilot signal of selected frequency in the form of surface state