We study the radiative leptonic D meson decays of [Formula: see text], [Formula: see text] and D0→ l+l-γ (l=e, μ) within the light front quark model. In the standard model, we find that the decay branching ratios of [Formula: see text], [Formula: see text] and [Formula: see text] are 6.9×10-6 (7.7×10-5), 2.5×10-5 (2.6×10-4), and 6.0×10-6 (3.2×10-4), and that of D0→l+l-γ (l=e, μ) and [Formula: see text] are 6.3×10-11 and 2.7×10-16, respectively.