Moussavi had said in a statement that his request was in line with the constitution and that officials were obliged to allow the ceremony to be held.
Without the interior ministry approval, any gatherings are considered illegal and police are authorised to intervene.
The ministry had so far rejected all requests by Moussavi and other opposition figures to hold such gatherings.
Moussavi's wife, Zahra Rahnavard, said Tuesday on her website that even in case of a rejection by the ministry, people should commemorate the victims by holding candles on streets or on the roofs of their houses.