Aiming to study variations of the geocenter movements, the results of DORIS data analysis for the time span 1993,0–2009,0 (inawd06.snx series), performed at the Analysis Centre of the Institute of astronomy of the Russian Academy of Sciences, have been used. In order to estimate linear trend, amplitudes, periods and phases of geocenter variation a method of linear regression and method of dynamic regression modelling (developed at the Ulyanovsk STU) were applied. The evaluated amplitudes of annual variations are of the order of 5–7 mm for X and Y components and 27–29 mm for Z component. Semi-annual amplitudes are also noticeable in all components (1–34 mm for X, Y and Z components). Secular trends in the DORIS geocenter coordinates are: –1,2, –0,1 and –0,3 mm/year for X, Y and Z directions respectively. Dynamic regression modelling allowed to find out several other harmonics with periods of 2,3,5 years and valuable amplitudes (1–3 mm for X,Y components and about 10 mm for Z component) and to develop a model of the geocenter dynamics. The simulated values of geocenter coordinates, estimated for the 2008 year with the use of shortcut model, limited by 1993–2007 data, coincide with «observable» (calculated with use of DORIS measurements) data with the correlation coefficient 0,7–0,8.