Gluon Spin in a Quark Model

We compute the gluon polarization $\mathrm{\Delta }G$ and the gluon total angular momentum $J_g$ in the Isgur-Karl quark model. Taking into account self-interaction contributions, we obtain for both quantities a positive value of about 0.24 at the model scale ${\mu }_0^2\simeq 0.25$ GeV${}^2$. This estimate is reasonably close to the expectation from polarized deep inelastic scattering analyses.