The incidents came just two weeks after the resurgent militant group overran the key northern city of Kunduz, their biggest military victory in 14 years of war.
The helicopter crashed yesterday while landing at the NATO headquarters in Kabul, the military coalition said, ruling out any insurgent activity behind the incident.
"The (crash) resulted in the death of five Resolute Support (NATO) personnel and the injury of five others," it said in a statement, without revealing their nationalities.
The latest deaths bring to 456 the total number of British forces, personnel and defence ministry civilians killed serving in Afghanistan since it joined the US-led invasion of the country in 2001.
The crash came just hours after a Taliban suicide car bomber struck a British forces convoy in central Kabul, wounding at least three civilians including a child, Afghan officials said. No British casualties were reported.
The British defence ministry confirmed their convoy came under attack and said the explosion was caused by an improvised explosive device.
The Taliban said yesterday's attack was carried out to avenge the recent "barbaric bombardment in Kunduz that martyred our civilians and doctors".
On October 3 a US air strike pummelled a hospital in Kunduz run by Doctors Without Borders (MSF), killing at least 12 staff and 10 patients.
The medical charity shut down the trauma centre in response, branding the incident a "war crime" and demanding an international investigation into the incident, which sparked an avalanche of global condemnation.
But MSF yesterday said it had officially not received any compensation offer, adding that it would not accept funds for repairs in line with its policy of rejecting support from governments.
President Barack Obama has apologised over the strike, with three different investigations -- led by NATO, US forces and Afghan officials -- currently under way.
