It was stated that all Marines ranked vice admiral or higher possess Haki, so Fujitora can also use the ability.
Fujitora was able to clash head on physically with Sabo, a Logia-class Devil Fruit user, implying he was using Busoshoku Haki during the battle. He later proved he is capable of using it when he did so to reinforce his sword in order to stall the Birdcage.
Fujitora is able to skillfully utilize Kenbunshoku Haki to see his surroundings in a form of aura which he cannot see due to his blindness. He also listens to voices that cannot be heard normally