  We have systematically investigated the magnetic moments of
spin-$\frac{1}{2}$ doubly charmed baryons in the framework of the heavy baryon
chiral perturbation theory. In this paper, one loop corrections with
intermediate spin-$\frac{1}{2}$ and spin-$\frac{3}{2}$ doubly charmed baryon
states are considered. The numerical results are calculated to next-to-leading
order: $\mu_{\Xi^{++}_{cc}}=0.35\mu_{N}$, $\mu_{\Xi^{+}_{cc}}=0.62\mu_{N}$,
$\mu_{\Omega^{+}_{cc}}=0.41\mu_{N}$. Our results may be useful for future
experiment and chiral extrapolation of the lattice QCD.
