NATO's International Security Assistance Force said called the morning attack near a forward operating base in Nangarhar province along the border with Pakistan "an attempted but unsuccessful coordinated attack by enemy forces."
The ISAF said three enemy forces were killed in a gun battle with coalition forces and "no ISAF personnel were killed."
CNN, quoting provincial governor's spokesman Ahmed Zia Abdulzai, said the insurgents detonated explosives near parked NATO supply trucks.
He said Afghan and NATO troops engaged the militants in a firefight that lasted about two hours. There were no civilian or military casualties, but some supply trucks were set ablaze.
The BBC said some of the NATO supply vehicles were badly burned and the Jalalabad-Torkham road, used by the vehicles, was closed after the attack.
CNN reported Taliban spokesman Zabiulah Mujahid claimed several suicide bombers participated in the attack and several soldiers were killed.
Taliban violence has escalated ahead of the withdrawal of U.S.-led forces from Afghanistan, which will be completed by the end of next year.