A doctor at the Emergency-run hospital in Lashkargah, the provincial capital, confirmed receiving 13 dead bodies and 30 injured people from the scene.
No one has claimed responsibility for that attack.
The area has seen heavy fighting in recent weeks between government forces aand Taliban insurgents.
While none of the organizations responsible for the explosion.
"A terrorist riding explosive-laden car blew himself up next to a military convoy at around noon in Lashkar Gah city leaving five people including three security personnel dead and injuring 38 others, almost half of them civilians", Zawak told Xinhua.
"In the past, the slave enemy received their pay from banks but after several attacks they began taking their pay inside the headquarters that we have now attacked", local Taliban spokesman Qari Yousuf Ahmadi told Reuters.
It was the latest in a series of deadly blows to Afghanistan's beleaguered security forces and yet again underlined spiralling insecurity in the war-torn nation.
A suicide bomber targeting Afghan policemen and soldiers collecting their pay killed at least seven people and wounded more than 40 on Wednesday, officials said.
An Afghan official says two police officers, including a district police chief, have been killed when their convoy was attacked by militants in western Nimroz province.
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