We report the result from the first search for D-0 decays to invisible final states. The analysis is performed on a data sample of 924 fb(-1) collected at and near the gamma(4S) and gamma(5S) resonances with the Belle detector at the KEKB asymmetric-energy e(|) e(-) collider. The absolute branching fraction is determined using an inclusive D-0 sample, obtained by fully reconstructing the rest of the particle system including the other charmed particle. No significant signal yield is observed and an upper limit of 9.4 x 10(-5) is set on the branching fraction of D-0 to invisible final states at 90% confidence level.