A remarkable property of bacteriophages is their capacity to encapsidate large amounts of DNA during morphogenesis and to maintain their genome in the capsid in a very stable form even under extreme conditions. Even as remarkable is the efficiency with which their genome is ejected from the phage particle and transferred into the host bacteria. Biophysical techniques have led to significant progresses in characterizing these mechanisms. The molecular motor of encapsidation of several phages as well as the organization of viral capsids have been described at atomic resolution. Cryo-electron microscopy and fluorescence microscopy have permitted to describe DNA ejection at the level of single phage particles. Theoretical models of encapsidation and ejection have been proposed that can be confronted to experimental data. This review will present the state of the art on the recent advances brought by biophysics in this field. Reference will be given to the work performed on double-stranded DNA phages and on one of its representative, phage T5, our working model.