Stylohyoid: by the facial nerve, by a branch from that to the posterior belly of digastric.
Mylohyoid: by its own nerve, a branch of the inferior alveolar (from the mandibular division of trigeminal nerve), which arises just before the parent nerve enters the mandibular foramen, pierces the sphenomandibular ligament, and runs forward on the inferior surface of the mylohyoid, supplying it and the anterior belly of the digastric.
Geniohyoid: by a branch from the hypoglossal nerve consisting of fibres from the C1 nerve.
Sternohyoid, omohyoid, sternothyroid are supplied by ansa cervicalis.
Thyrohyoid: by a branch of hypoglossal nerve but the fibres are all 'hitch-hiking' from C1.