The two explosions, which occurred during the same patrol, happened near Sangin, Helmand province, this morning.
Spokesman for Task Force Helmand, Lieutenant Colonel Nick Richardson, said:
"While there are no words to ease their loss, our heartfelt sympathies go to their families, friends and fellow soldiers at this very difficult time; their deaths were not in vain."
Next of kin have been informed and have asked for a period of grace before further details are released.