Taliban in a statement claimed responsibility of the attack and said the "suicide attacker destroyed two tanks and killed over 10 United States military servicemen".
Three other service members were hurt, the North Atlantic Treaty Organisation alliance said.
Last year, 13 USA service members were killed in Afghanistan.
Fighting also has intensified in other parts of Afghanistan with the advent of spring, despite US -led efforts to reach a peace deal with the Taliban.
It's unclear whether Monday's incident will have any impact on ongoing negotiations. Abdullah Abdullah shares power with President Ashraf Ghani in a US -brokered unity government.
The injured were evacuated and were receiving care, the Pentagon said. The terrorist outfit is under attack from USA -backed Afghan forces, while Taliban insurgents are also waging attacks against the militant group in Taliban-controlled areas.
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Abdullah said the Taliban could partake in elections and even compete for the presidency if they renounce violence.
Taliban leaders are set to meet with Afghan officials in Qatar next week for a fresh round of talks as the USA tries to broker a peace deal. Defense Department officials told The Wall Street Journal that the explosion was the result of a Taliban attack on a convoy carrying the American service members. 13 were killed past year.
"My heartfelt prayers to the families of the Americans killed near Bagram". The Taliban have refused to meet with the Afghan government, which they view as a USA puppet.
Christopher Castellano is a U.S. Army veteran and now serves as a firefighter in New York City.
The Afghan-born USA special reconciliation representative is expected to enter into another round of peace negotiations with the Taliban later this month in Qatar in his bid to start an intra-Afghan dialogue to bring an end to the 18-year-old war that continues to inflict record levels of casualties on combatants and civilians.
This is a developing story.