It is said that during the period of Yoritsuna he donated his homeland Tadasho to the Sekkanke Families, and he adopted "Tada," a prestigious name used by his family since his great-grandfather MINAMOTO no Mitsunaka (aka TADA no Manju), as his vernacular family name and was called Tada Kajin, or poet of Tada.
また、頼綱の時代に本拠地・多田庄を摂関家に寄進したとされており、曽祖父・源満仲（多田満仲）以来の由緒ある名乗りである「多田」を家号とし、「多田歌人」と呼ばれた。