"It is clear the Muslim Brotherhood is incapable... Of running the state in Egypt. Their model has failed for ever," Zohbi said at a press conference broadcast by Syrian state television.
"The Muslim Brotherhood's regime in Egypt is dead, but the death certificate has not yet been published," the minister said.
There is long-standing animosity between the Syrian regime and the Muslim Brotherhood, and membership in the group has been punishable by death in Syria since the 1980s.
A year on from taking power in Egypt, "they have managed to demolish... The state's reputation", said Zohbi.
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Egypt's opposition today gave Morsi a day to quit or face civil disobedience.
The Egyptian health ministry said 16 people died yesterday in nationwide protests against Morsi, including eight in clashes between his supporters and opponents outside the Muslim Brotherhood headquarters in Cairo.
Zohbi meanwhile lashed out against the group for "destroying national unity" in Egypt.
In Turkey, Erdogan is also facing a wave of protests demanding his resignation.
Turkey's ruling Justice and Development Party (AKP) "has set a bad example in running the state", said Zohbi.
Turkey is hosting some 400,000 Syrian refugees who have fled the 27-month conflict back home.
It also serves as the opposition's rear base.
The uprising against Assad began in March 2011, with peaceful anti-government demonstrations but became an armed insurgency after a brutal crackdown by the regime.