Marko Shuntov, Hollis B. Akins, Louise Paquereau, Caitlin M. Casey, Olivier Ilbert, Rafael C. Arango-Toro, Henry Joy McCracken, Maximilien Franco, Santosh Harish, Jeyhan S. Kartaltepe, Anton M. Koekemoer, Lilan Yang, Marc Huertas-Company, Edward M. Berman, Jacqueline E. McCleary, Sune Toft, Raphaël Gavazzi, Mark J. Achenbach, Emmanuel Bertin, Malte Brinch, Jackie Champagne, Nima Chartab, Nicole E. Drakos, Eiichi Egami, Ryan Endsley, Andreas L. Faisst, Xiaohui Fan, Carter Flayhart, William G. Hartley, Hossein Hatamnia, Ghassem Gozaliasl, Fabrizio Gentile, Iris Jermann, Shuowen Jin, Koki Kakiichi, Ali Ahmad Khostovan, Martin Kümmel, Clotilde Laigle, Ronaldo Laishram, Erini Lambrides, Daizhong Liu, Jianwei Lyu, Georgios Magdis, Bahram Mobasher, Thibaud Moutard, Alvio Renzini, Brant E. Robertson, Marc Schefer, Diana Scognamiglio, Nick Scoville, Zahra Sattari, David B. Sanders, Sina Taamoli, Benny Trakhtenbrot, Francesco Valentino, Feige Wang, John R. Weaver, Jinyl Yang

We present COSMOS2025, the COSMOS-Web catalog of photometry, morphology, photometric redshifts and physical parameters for more than 700,000 galaxies in the Cosmic Evolution Survey (COSMOS) field. This catalog is based on our \textit{James Webb Space Telescope} 255\,h COSMOS-Web program, which provides deep near-infrared imaging in four NIRCam (F115W, F150W, F277W, F444W) and one MIRI (F770W) filter over the central $\sim 0.54 {\, \rm deg}^2$ ($\sim 0.2 {\, \rm deg}^2$ for MIRI) in COSMOS. These data are combined with ground- and space-based data to derive photometric measurements of NIRCam-detected sources using both fixed-aperture photometry (on the space-based bands) and a profile-fitting technique on all 37 bands spanning 0.3-8 micron. We provide morphology for all sources from complementary techniques including profile fitting and machine-learning classification. We derive photometric redshifts, physical parameters and non-parametric star formation histories from spectral energy distribution (SED) fitting. The catalog has been extensively validated against previous COSMOS catalogs and other surveys. Photometric redshift accuracy measured using spectroscopically confirmed galaxies out to $z\sim9$ reaches $\sigma_{\rm MAD} = 0.012$ at $m_{\rm F444W}<28$ and remains at $\sigma_{\rm MAD} \lesssim 0.03$ as a function of magnitude, color, and galaxy type. This represents a factor of $\sim 2$ improvement at 26 AB mag compared to COSMOS2020. The catalog is approximately 80\% complete at $\log(M_{\star}/{\rm M}_{\odot}) \sim 9$ at $z \sim 10$ and at $\log(M_{\star}/{\rm M}_{\odot}) \sim 7$ at $z \sim 0.2$, representing a gain of 1\,dex compared to COSMOS2020. COSMOS2025 represents the definitive COSMOS-Web catalog. It is provided with complete documentation, together with redshift probability distributions, and it is ready for scientific exploitation today.