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The results of the complex study of galactic open cluster Trumpler 2 arepresented. In order to obtain the proper motions the positions of 2600 stars upto the limit magnitude B ~ 16.25 mag in the area 80x80 arcmin around thecluster were measured on 6 plates with the maximal epoch difference of 63years. The root-mean error of the relative proper motions is 4.2 mas/yr. Thecatalogue of BV magnitudes of all the stars in the investigated area wascompiled. Astrometric selection of the cluster members within the region ofR<16 arcmin from the center of the cluster was made by means of the W.Sandersmethod. In that field 192 stars were found to have the individual membershipprobability greater then 85%, 148 of them are situated within the+/-3sigma_(B-V) band around the main sequence of the cluster. They areconsidered to be cluster members by two criteria. The U-B ~ B-V diagram plottedfor the astrometrical cluster members by the data taken from the Washingtoncatalogue of the UBV photometry in the galactic cluster fields (Hoag etal.1961) made it possible to redefine the value of the color excess E(B-V)=0.40mag. The superposition of the MS of the cluster with the ZAMS Schmidt-Kalerleads to the coincidence at the value of the apparent distance module(V-Mv)=10.50 which corresponds to the distance r=725 pc. The luminosity andmass functions of the Trumpler 2 were constructed and the value of the slopeGamma=-1.90+/-0.22 was determined. The cluster age of 8.913x10^7 yr wasdetermined. It is shown that the red giant on the late stage of the evolution(st N.1095) belongs to cluster and indicates the brightness variability. Thepossibility that the number of both known and recently discovered variables arecluster members was considered. Tables 2,3,3A,5 will be only available in theelectronic form.Comment: 14 pages, 7 figure

Proper motions and CCD-photometry of stars in the region of the open cluster Trumpler 2