Some of the rioters possessed machine guns and Molotov cocktails, the statement said, Xinhua reported.
The arrests came during Saturday's mass celebrations on the third anniversary of Jan 25 uprising that toppled the regime of then president Hosni Mubarak.
Some of the rioters possessed machine guns and Molotov cocktails.
The statement said that Morsi's supporters, mostly from the Muslim Brotherhood and their affiliates, attempted to ruin the celebrations "by staging marches to block traffic, shouting hostile slogans and inciting riots".
On Saturday, at least 29 people were killed and around 170 others were injured during clashes between security forces and pro-Morsi protestors as well as some anti-government activists.
Similar clashes Friday left 15 people dead and several others injured.