The bomber blew up an explosives-laden minibus at the entrance to the camp in Chahar Asyab district, killing the four special forces members and wounding another three, the Defence Ministry said in a statement.
Taliban spokesman Zabihullah Mujahid issued a statement claiming responsibility for the attack, which he said killed more than 200 commandos. The insurgents routinely issue exaggerated casualty claims.
Mujahid said the bomber had been infiltrated into the base well before the attack.
The latest attack underscored expectations of an escalation in violence following U.S. President Donald Trump's sudden cancellation of the talks with the Taliban aimed at withdrawing U.S. troops and ending 18 years of war in Afghanistan.
Last week, a Taliban suicide blast killed at least 10 civilians and two NATO service members near the U.S. embassy in Kabul.--REUTERS