In this thesis we have considered the evolution of galaxies in the ΛCDM (cosmological constant (Λ) and cold dark matter (CDM) cosmic model. The work includes revision of the contents of the implemented model; and the analysis of the way how the contentsenter and affect the evolution of the galaxies in time. Accordingly, we have studied aging, dark matter interaction to form halos and the general morphology of the galaxies in the context. The General relativity base, ΛCDM model is used to analyze the Friedmann equations and their solutions how the geometry and matter energy source of the universe affected the formation and evolution of galaxies and other cosmic structures. The result of our work indicates that cosmological constant has a significant effect on structure and dynamics of galaxies. For the analysis of the results we have used Python software. Our result is in good agreement with the previous works. Key words: evolution of galaxies, formation of galaxies, ΛCDM model