Eight people were admitted to hospitals in the city with injuries after the quakes, the head of the city's hospitals, Mirwais Radie, told AFP.
Some were hurt jumping out of buildings or from crushes as people rushed to evacuate buildings, he said. There was minor damage such as mirrors being cracked by the tremors.
No immediate measurement of the strength of the quakes was available as the war-damaged country has does not have systems for recording seismic activity.
The first quake struck around 5:00 am (0030 GMT). "I was asleep. There was a bad earthquake and we fled from the house into the streets," said university student Nilofar, who uses only one name.
"All my neighbours were there. We waited for about 20 minutes before going back in."
The second quake was hours later and less powerful, but one at around 11:00 am sent people back into the streets fearing that buildings might collapse.
Afghanistan is often hit by earthquakes, especially around the Hindu Kush mountain range that is near the collision of the Eurasian and Indian tectonic plates, where seismic activity is high.

Copyright AFP (Agence France-Presse), 2006