A model for hybrid excitations of a QCD string with quarks is presente
d on the basis of perturbation theory in a nonperturbative background.
A simplified version of the Hamiltonian, including both long-range no
nperturbative interaction and a Coulomb force, is derived. The masses
of the lowest q(q) over barg$ hybrids are evaluated, and numerical res
ults for the spectra are presented.