Kabul's international airport came under attack on Monday as the Taliban announced the start of their annual summer offensive.
Two rockets hit the airport but did not cause any casualties.
There were also attacks on the US airbase in Bagram, at a courthouse in Jalalabad in the east and elsewhere.
Afghanistan is in transition, with a new president to be elected next month and foreign forces due to leave by the end of 2014.
The BBC's David Loyn in Kabul says the offensive has begun now the poppy harvest is in and the Taliban can recruit fighters more easily.
The Taliban offensive began with attacks before dawn on Monday first on the huge Bagram airbase north of the capital.
One rocket fell outside the base, and three others were launched, but did not cause any damage.
12 May 2014
The Taliban launches their summer "offensive" with celebratory rocket attacks that hit jack-all.
Posted by Brant at 11:38