A statement from the NATO-led International Security Assistance Force (ISAF) said the roadside bomb killed the service member on March 30.
It said the attack that killed the second soldier occurred on March 29.
No further details were given.
So far this year, at least 88 international troops have been killed in Afghanistan.
At least 17 of these deaths -- including at least seven Americans and five French trainers -- have been blamed on attacks by Afghans who have been serving in the security forces or wearing a military uniform.