Shadi Helw, the channel's Aleppo correspondent, and two cameramen, Yahya Moussali and Ahmed Suleiman, were among the wounded, the broadcaster said.
"Two terrorists who were driving the explosives-packed car tried to attack a security center in Aleppo. The terrorists were killed and 18 people were injured, including the journalists," it reported.
The channel added that Helw and Suleiman were lightly wounded, but that Moussali had been seriously hurt, without giving details.
SANA said regime forces "intercepted terrorists driving a car bomb about 500 meters (yards) from a security headquarters and managed to kill one of the bombers before the other detonated the bomb."
The Syrian Observatory for Human Rights watchdog's director Rami Abdel Rahman told AFP by phone that the attack had taken place "at a military checkpoint near the officers' club in Furqan district" in western Aleppo.