A Taliban spokesman had claimed that the group shot the plane down over territory they control near Ghazni city.
The US Bombardier E-11A went down early Monday afternoon and was initially mistaken by Afghan authorities for a passenger jet.
But footage, purportedly from the wreckage site, soon emerged, showing the US air force insignia on a charred fuselage.
"While the cause of crash is under investigation, there are no indications the crash was caused by enemy fire," a spokesman for the US military in Afghanistan tweeted."Taliban claims that additional aircraft have crashed are false."
A spokesman for the Taliban, Zabihullah Mujahid, said in a statement posted online: "An American invader aircraft has been shot down. Lots of officers have been killed." He said high-ranking CIA officers had been onboard the plane, but the claim could not be independently verified.