The Catalogue of stars with high-proper motions (>=0.04arcsec/yr) has been compiled using original definitions from catalogue FONAC1.1, the data of catalogues Hipparcos, Tycho-2, UCAC2(up to +40 degrees in declination and going up to +52 degrees in some areas), CMC (STAR 11), PPM, NPM1, NPM2, XZ80Q, Pul-3, Pul2, NLTT, LHS, GCVS, Lowell Proper Motion, Bruce Proper Motion as well as the data of about 770 other published sources. The list consist of 555200 such stars with limiting magnitude 16 (up to 17 for companions in multiple systems) in a declination zone from -2.5 to +90 degrees. Besides astrometric parameters (equatorial coordinates, proper motions, estimations of stars magnitudes) the catalogue includes some astrophysical characteristics (magnitudes in UBVRIJHK system, radial velocities, spectra, luminosity class, metallicity [Fe/H] or [M/H]; flags of multiple system, of variable star and other). For convenience of usage the original numbers of stars from different cataloques the author's lists of stars and basic sources are given too. Very offen the same star being met in different catalogues has a various identification. Cross-identifications of such stars were carried out (Ivanov, 2008, Cat. IV/30). At present the catalogue includes codes of 63 catalogues and author's lists of stars. The stars in the catalogue are arranged by right ascension; information on each star is recorded in a digital integer form with one line including 308 symbols. Because of the presence of additional information (some values of star magnitude definition, radial velocities of stars etc.) there was an increase in the number of lines for each star. Therefore the total number of lines consist of 618250 (Ivanov, 2008KFNT...24..480G). The values of right ascension, declination, magnitude, radial velocities and other parameters are written out with accuracy of their definition in sources. If the values of the parameters for a concrete star taken from various sources differ within the limits of 0.01-0.02 (in star magnitudes), 1km/s (in radial velocities), 0.1 (in metallicity), their averaging were carried out. For multiple systems the values of angles and distances from central star up to companions were updated according to the new information. Beginning the second line there are blanks in the columns of declination (B1950.0, J2000.0), proper motion, epoch if star information is recorded in several lines. These values were written out if additional accurate or strongly different ones from the other coordinates and proper motions in corresponding columns for J2000.0 were available. The number of the source, coordinates and proper motions originated from, has been written mainly in the last column assigned for the number (pos. 35-38). Values of right ascension (B1950.0) for the multiline star are identical. Catalogue is regularly supplemented.