"The elections proved that a political solution in Syria begins and ends with President Bashar al-Assad," Hassan Nasrallah, a key ally of Assad's regime, said in a televised address.
Assad won a new seven-year term in the country's first multi-candidate presidential vote on June 3, taking nearly 90 per cent in an election dismissed by the opposition and its international backers as a "farce."
The opposition says Assad's departure from office is a condition for any peace agreement, but Nasrallah dismissed that as a possibility.
"Those who want to work for a political solution must talk to him, negotiate with him and reach a solution with him."
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Nasrallah, who has sent Hezbollah fighters to Syria to battle alongside Assad's regime, called for an end to bloodshed and new negotiations.
"We call on combatants ... To move towards reconciliation and dialogue, looking for political exits to stop the bloodshed," he said.
"This fighting will only increase destruction in your country and add to the bloodshed," he said, addressing the opposition.