The cross section for the Deeply Virtual Compton Scattering (DVCS) process gamma^* p -> \gamma p has been measured with the H1 detector at HERA in an extended
kinematic domain. Using an integrated luminosity of 26 pb^-1, the cross section is determined as a function of the photon virtuality Q^2 and of the photon-proton centre-of-mass energy W in the kinematic region 4 < Q^2 < 80 GeV^2 and 30 < W < 140 GeV. The measurement is compared with next-to-leading order perturbative QCD calculations and Colour Dipole model predictions.