According to reports, some heavily armed assailants opened indiscriminate fire on the supply trucks flattening their tyres.
Two of the five oil tankers overturned resulting in spillage of thousands of litres of fuel, The Daily Times reports.
However, there were no casualties in the attack.
This was the second attack on the NATO convoy in the country in less that a week.
Earlier, at least eight people were killed and six others injured as militants attacked a NATO convoy torching several supply trucks near Sang Jani area of Islamabad.