The Hashed's deputy chief was also killed in the attack, the force added, which comes after a pro-Iran mob this week laid siege to the US embassy.
US Secretary of State Mike Pompeo said the attack was "orchestrated by terrorists."
Baghdad said it would summon the US ambassador while Washington responded by accusing Iraqi authorities of having failed to "protect" US interests.
Four US service members and Iraqi security forces were wounded in Friday's attack at the K1 Iraqi military base in Kirkuk, an oil-rich region north of Baghdad.
Its reported epicentre is 45 kilometres east of the Bushehr nuclear power plant, on the southwest Gulf coast.
The US effectively dismantled and rebuilt the Iraqi state, ushering in a new class of political elites with whom it crafted close personal links.
The explosions come just weeks after two of Saudi Arabia's biggest oil installations were hit
A 22-year-old Instagrammer has been arrested for charges of blasphemy for her highly edited photographs.
Iran sits in the middle of a major illegal narcotics route between Afghanistan and Europe.
British tanker Stena Impero is yet to set sail, Iran claims that the delay is due to an on-going investigation.
Fears of an Iranian attack on the Royal Navy base in the gulf has prompted the deployment of an SAS team.
Saudi Arabia has revealed evidence of Iran's involvement in the oil plant attack.
Situation becomes more volatile as Trump awaits definitive information on who is responsible behind attacks.
The drone attack on Aramco plant in Saudi might affect oil prices and inflame US-Iran conflict.
FIFA officials will be visiting Iran before a World Cup Qualifier match to discuss preparations as well as the attendance of female football fans.
Sahar Khodayari took her own life by setting herself on fire after she was arrested and taken to court for trying to attend a football match in Iran.
USS Abraham Lincoln carrier strike group sent to Iran in response to troubling warnings, says John Bolton
China and Turkey are standing-up to U.S. demands they stop importing Iranian oil.
The prevailing uncertainty in the oil market abetted by OPEC production cuts, the U.S. sanctions on Venezuela oil and other factors can snowball into an energy crunch and impact oil price, warned an industry expert.
Marzieh Hashemi, a journalist and anchor for Press TV, was visiting her brother, who was unwell, when she was detained at St. Louis Lambert International Airport.
Trump in recent weeks demanded the oil cartel increase production to drive down U.S. gasoline prices.
The impact of a U.S.-Saudi rift could send shockwaves around the world, destabilizing oil markets and the global investment climate.