"Two bombs exploded in the car park of the Palace of Justice in the Al-Marjeh district of Damascus. A third did not explode," the television said, describing the bombings as "terrorist" attacks.
A police source told AFP on condition of anonymity that two magnetic bombs exploded in two judges' cars in the open-air car park, while a third was in the process of being defused.
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State television showed footage of heavy smoke rising from the car park, as firefighters attempted to put out the flames.
Syria has been hit by a wave of massive explosions in recent months, killing dozens of people.
Most of the explosions targeted the security agencies of President Bashar Assad, who is fighting to end a 15-month-old uprising against his rule.
Last month, an explosion targeted a military intelligence compound south of Damascus killing 55 people. It was Syria's deadliest blast.
Much of the violence that has gripped Syria since the uprising began has been sanctioned by the government to crush dissent.
But rebel fighters are launching increasingly deadly attacks on regime targets, and several massive suicide attacks this year suggest al-Qaeda or other extremists are joining the fray.

