In an online statement the group said the attack was in revenge for military operations in the mainly Kurdish south-east.
“On the evening of March 13, a suicide attack was carried out … in the streets of the capital of the fascist Turkish republic. We claim this attack,” read the statement, vowing that it would stage more attacks.
TAK says it split from the Kurdistan Workers’ Party (PKK).
Authorities detained 11 people over Sunday’s bombing, Prime Minister Ahmet Davutoglu said, while Turkey’s air force hit several Kurdish rebel targets in northern Iraq hours after the blast.