A realization of the Terrestrial Reference Frame has been derived by the joint processing of Lageos-1 and Lageos-2 SLR data acquired by the global network of stations since September 1, 1983 until November 1, 1998. Lageos-1 data consists of 926,279 normal points obtained by 106 stations and Lageos-2 data represents 359,439 normal points acquired by 70 stations. The data analysis has been performed using KIEV-GEODYNAMICS 5.2 software which basically follows the IERS Conventions (1996). Among the estimated parameters are: satellite orbital elements - at 15-day orbital arcs, Earth rotation parameters (Xp, Yp pole coordinates, UT1-UTC) - at 3-day arcs, geocentric cartesian coordinates of 106 stations and velocities of 77 stations at the whole 15-year span. The formal errors of station coordinates and velocities are 0.1-1 cm and 0.2-5 mm/y, respectively, for the majority of stations. The derived station coordinates and velocities have been compared with ITRF96. Our solution SSC(GAOUA)98L02 has 89 common stations with ITRF96. The coordinates of the most stations given by our solution are at 1-3 cm level in agreement with ITRF96. The transformation parameters between two these solutions are presented. Discussion on the residuals in the coordinates and velocities of some stations given by two these solutions is also given in the paper.