The huge blast could be heard across Kabul and a plume of smoke rose high into the air above the attack site on the Jalalabad road, a main route that houses many foreign compounds and military facilities.
"A British embassy vehicle was attacked. There are some injuries. We are working with Afghan authorities," a spokesman for the British embassy in Kabul told AFP.
Afghan deputy interior minister Ayub Salangi said via Twitter it was suicide motorbike bomb.
In the eastern province of Paktika, insurgents staged a horrific suicide attack on Sunday, killing 57 people at a volleyball match.
