  We consider hybrid states with heavy quarks in the frame of recently proposed
constituent gluon model. Limiting regimes for model Hamiltonian are discussed.
It is shown that these regimes match smoothly, hence predictions of the model
are definite enough. We predict lowest $c \bar c g$ hybrids at $4.1 \pm 0.1$
GeV and $b \bar b g$ hybrids at $10.5 \pm 0.1$ GeV. Regge-trajectories for
hybrids are derived from the formalism. Experimental aspects of our predictions
are discussed.
