The computational modeling studies performed on the entire 70S bacterial ribosome and its subunits are reviewed. Computational approaches became possible with the availability of three-dimensional atomic resolution structures of the ribosomal subunits. However, due to enormous size of the system theoretical efforts to study the ribosome are few and still pose a great challenge. For example, to extend the simulation time scales to biologically relevant ones, often reduced models requiring tedious parameterization procedures need to be applied. So far modeling of the ribosome involved its electrostatic properties, internal dynamics, binding of antibiotics, polypeptide folding in the ribosome tunnel, and assembly paths of proteins in the small ribosomal subunit.