The present invention is directed to a stabilized hydrogen peroxide solution containing stabilizers that maintain relatively high hydrogen peroxide stability in both concentrated form and when formulated into a cleaning solution that has a pH above 6 and contains components that normally would have a destabilizing effect on the hydrogen peroxide. The stabilizers include a first cyclic amino methane diphosphonic acid compound stabilizer in combination with a second phosphonic acid based stabilizer (different from the cyclic amino methane diphosphonic acid compound), wherein the weight ratio of the first stabilizer to the second stabilizer is at least about 2:1.