No one was killed in the attack, which followed Sunday's hours-long siege against the airport that killed four military personnel.
Taliban spokesman Shahidullah Shahid said Tuesday, "This wave of attacks will be continuing in retaliation for the shelling and atrocities of the government." He had previously warned of a "full-out war with the Pakistani state, starting on June 10."
Tuesday's assault involved an unknown number of gunmen who were repelled after launching an assault on the academy's entrance.
Notable deaths of 2014 [PHOTOS]