Bohr's model assumes quantized orbits in which the electrons can move without the emission of radiant energy. The electron cloud model has a similar feature of quantized orbits.
The Bohr's atomic model although assumes that the energy of the electron depends only on the principle quantum number (n) of the orbit. This assumption is flawed and was further developed by Sommerfeld who introduced an additional quantum number called the Azimuthal quantum number (l).
The quantum mechanical model uses four basic quantum numbers to specify an electron.
Though the very basic idea of quantized (discrete) states/ energy levels is the same in the Bohr's model and the Quantum mechanical model, the latter provides with a much more satisfying theory than the former.
More differences between the two exist, the most important being that the path of the electron is well defined in the Bohr's model while the Quantum mechanical model totally discards the idea of finding the electron trajectory and relies solely in the probability of finding an electron in a given region of space.