The force of the blast damaged civilian cars parked outside the camp and showered the street with debris.
Al Arabiya also reported that a auto bomb detonated on a highway near the entrance into an anti-terrorist camp that is located in the Al-Tawahi district in the south of the city.
The attack on Saturday was claimed by the Islamic State of Iraq and the Levant (ISIL) via the group's Amaq website. They said the casualties were taken to hospitals for treatment.
A suicide bomber detonated his explosives-laden auto at the main gate of the counter-terrorism forces headquarters in Aden's neighborhood of Tawahi, causing casualties among soldiers, the Aden-based government source said on condition of anonymity.
"All the ... terrorists were liquidated immediately before they could reach the outer gate of the anti-terrorism headquarters", the statement said.
Medical officials said those killed included three civilians and three security personnel.
The southern port city of Aden is considered as Yemen's temporary capital and the Saudi-backed Yemeni government has based itself there since 2015.
Residents described two large explosions in the area, where a cloud of grey smoke rose over the area, while ambulances raced to evacuate the wounded.
The UAE and Saudi Arabia lead a military coalition that has fought alongside the Hadi's forces since 2015 in a war against the Huthis from north Yemen that has left more than 9,200 people dead.
During the past two years, the al-Qaida in the Arabian Peninsula (AQAP) and other terrorist groups including the Islamic State had an active presence in Yemen's southern part.
The UN Security Council is expected to vote on Monday on a British-drafted resolution that would condemn Iran for violating a UN arms embargo by providing missiles and drones to Shiite rebels in Yemen - and commit to future action against Tehran.