We give a brief summary of the ongoing Abastumani Blazar Monitoring Program (ABMP) started in May 1997. More than ~50,000 frames of data have been collected during 370 nights of observations on about 50 target objects. Preliminary results of two years of monitoring of ten selected AGNs carried out in the framework of ABMP are presented. All observations were done in the BVRI bands using the CCD ST-6 based photometer attached to the 70-cm meniscus telescope's Newtonian focus. Image reductions were made using different software packages of image reduction systems such as IRAF, MIDAS and STARLINK. All objects under study show light variations exceeding one magnitude. The largest variation was observed for AO 0235+116, amounting to 4.0 mag in the R band.