Afghan officials say a suicide bomber killed a police officer in eastern Khost province.
Authorities say Friday's blast wounded 15 other people, including eight civilians outside police headquarters in Khost.
The Taleban claimed responsibility for the blast.
Hours later, a second bomber blew himself up at a checkpoint in Khost. That explosion wounded the driver of a taxi the bomber in which the bomber was riding.
There has been no initial claim of responsibility for the attack.
Frequent suicide attacks blamed on Taleban militants have killed Afghan police and troops during the past year.
Some information for this report was provided by AFP and Reuters.