In this paper we propose an interpretation of the time series of the RMS overlap differences of the out-of-plane part N of the orbit of the Martian polar orbiter Mars Global Surveyor ( MGS ) over a time span \Delta P of about 5 years ( 14 November 1999-14 January 2005 ) in terms of the general relativistic gravitomagnetic Lense-Thirring effect . It turns out that the average of such a time series over \Delta P , normalized to the predicted Lense-Thirring out-of-plane mean shift over the same time span , is \mu = 1.0018 \pm 0.0053 . A linear fit of the considered time series over \Delta P yields a normalized slope 1.1 \pm 0.3 strengthening our interpretation of the determined MGS out-of-plane features of motion as due to the gravitomagnetic force of Mars .