The utility model relates to a door closing sequencer of a non-blind angle type, and belongs to the product of the fire-fighting field. The utility model comprises a support frame which is arranged on a door frame of a fire door, and a linked long rocking arm and a short rocking arm which are hinged on the support frame, a baffle block which is arranged on the support frame to limit the inclination angles of the rocking arms, and rolling wheels which are hinged on the front extension ends of the long rocking arm and the short rocking arm. The utility model is characterized in that the utility model is also provided with a one-way folding type constant-expansion fin structure which is arranged on the leaf surface of the outside surface of the firstly closed door leaf of the fire door; the one-way folding type constant-expansion fin structure is composed of a mounting block which is fixedly connected with the door leaf, and a folding fin which is hinged with the mounting block; the folding fin extends out of the door leaf body; an elastic sheet is arranged between the folding fin and the mounting block, and the elastic sheet causes the folding fin to frequently be in the expansion state. The utility model effectively overcomes the phenomenon that any like instrument at home and abroad all has blind angle. The utility model can be widely used for double-leaf type fire doors or other double-leaf doors with various sequential closing requirements.