  A study on cosmic muons has been performed for the two identical near and far
neutrino detectors of the Double Chooz experiment, placed at $\sim$120 and
$\sim$300 m.w.e. underground respectively, including the corresponding
simulations using the MUSIC simulation package. This characterization has
allowed to measure the muon flux reaching both detectors to be (3.64 $\pm$
0.04) $\times$ 10$^{-4}$ cm$^{-2}$s$^{-1}$ for the near detector and (7.00
$\pm$ 0.05) $\times$ 10$^{-5}$ cm$^{-2}$s$^{-1}$ for the far one. The seasonal
modulation of the signal has also been studied observing a positive correlation
with the atmospheric temperature, leading to an effective temperature
coefficient of $\alpha_{T}$ = 0.212 $\pm$ 0.024 and 0.355 $\pm$ 0.019 for the
near and far detectors respectively. These measurements, in good agreement with
expectations based on theoretical models, represent one of the first
measurements of this coefficient in shallow depth installations.
