The approximate analytical solution of the integral equation concerning the current in a thin straight vibrator with complex surface impedance has been obtained. The vibrator is located in unlimited space and is excited in an arbitrary point along its length. The calculations have been made and the plots of electrodynamic characteristics of the vibrator, depending of the value and the type of its surface impedance and the excitation point location, are represented. The comparative analysis between the calculated and the experimental data and also the results, obtained by the method of moments, are represented for perfectly conducting vibrators.