DETERMINATION OF THE PRECESSIONAL PARAMETERS USING THREE ABSOLUTE CATALOGUES OF STAR POSITIONS. Efimov A.A., Fomin V.A., Spitalnaja A.A. Pulkovo observatory, RUSSIA A new method is developed for determination of the precessional constants. The Euler's angles of rotation of the star coordinate system can be determined for every 3 stars common for 3 absolute catalogues of star positions. Proper motions of stars do not affect the results in the first approximation. The method was tested on the base of the 5 Pulkovo absolute catalogues 1845.0-1930.0.