The present invention relates to the field of construction engineering, and discloses a rigid hanger connecting structure and a bridge structure. The connecting structure includes a rigid hanger and further includes a first connecting portion connected to a top end of the rigid hanger and a second connecting portion connected to a bottom end of the rigid hanger, and the hanger is connected to the first connecting portion and/or the second connecting portion by using a spherical bearing pair. In the present invention, a rotatable connection between the hanger and a bridge structure is implemented to avoid cracking of concrete inside a short hanger, prolonging the service life of a bridge; the connecting ends of the hanger are located within a line of sight range convenient for maintenance, to eliminate a blind zone, improving bridge safety; the hanger can be prefabricated in a factory, shortening construction period and improving efficiency.