The dynamical interrelation between resonant trans-Neptunian objects and short-period comets is studied. The initial orbits of resonant objects are based on computations in the model of the outward transport of objects during Neptune`s migration in the early history of the outer Solar system. The dynamical evolution of this population is investigated for 4.5 Gyr, using a symplectic integrator. Our calculations show that many objects are captured to the planetary region. We have estimated that the relative fraction of objects captured per year from the 2/3 resonance to Jupiter-family orbits with perihelion distances q < 2.5 AU is 0.4 x 10-10 near the present epoch. The orbital distribution of the studied objects is more consistent with the observed distribution of Centaurs than that for high-eccentricity trans-Neptunian objects captured to the planetary region. This work was supported by RFBR-Ural Grant 04-02-96042 and RFBR Grant 06-02-16512.