The concept of vectorial controllable dark-hollow (CDH) beams is proposed. The CDH beams can be used to describe circular hollow beam whose axial intensity is not entirely equal to zero. This model has many interesting characteristics that the central dark size of beam can be controlled easily by various parameters, the form simple and easy analysis, propagation properties approach actual case and so on. On the basis of vectorial Rayleigh-Sommerfeld formulas, the nonparaxial propagation analytical formulas of vectorial CDH beams are derived. The paraxial approximation is dealt with as special cases of our general results. By using the derived formulae, the propagation properties of vectorial CDH beams in free space are illustrated and analyzed comparatively with numerical examples. The results show that the vectorial CDH beams keep the hollow intensity distribtuon in the near field and the f parameter and propagation distance play the important role in determining their nonparaxiality.