The automated search for star clusters of J,H,K_s data from the Two Micron All-Sky Survey (2MASS) was made using a new method based on the convolution with density functions (Koposov et al. 2008A&A...486..771K). In two papers (this one and Koposov et al. 2008A), 168 new clusters were found and verified in the range of galactic latitude |b|<24 degrees. The new method to estimate main physical parameters of clusters was developed, which involves three different techniques: Hess-diagram, color-magnitude diagrams in (J,J-H) and (K_s,J-K_s), and radial density distribution. Color excesses E(B-V), distance moduli and ages were determined for 141 new and 27 known, but poorly studied clusters. We present the Sternberg Astronomical Institute Open Clusters Catalog (SAI OCL Catalog) of coordinates, diameters and main physical parameters of these clusters. The parameters for 9 clusters were determined using J,H,K data from UKIDSS GPS. For 26 new embedded clusters, we publish the coordinates and diameters only. To facilitate the access to these data and its scientific analysis, we have developed a dedicated web-site of the catalog available at http://ocl.sai.msu.ru/