We propose a mechanism of coherent emission from driven vortices in stacked intrinsic Josephson junctions. In contrast to super-radiance, which occurs only for highly ordered vortex lattices, we predict resonant radiation emission from weakly correlated vortex arrays. Our analytical results for the terahertz wave intensity, resonance frequencies, and the dependence of terahertz emission power on dissipation are in good agreement with the ones obtained by recent simulations.