The invention discloses an arch-first and beam-second construction method for a bracket-free tied arch, and belongs to the technical field of building construction. The method comprises the followingsteps: 1, transporting arch ribs; 2, pre-burying arch ribs of arch foot sections; 3, temporarily solidifying the arch feet and the bridge piers; 4, penetrating a temporary cable for construction: pulling the temporary cable to the cross beam at the mounting end, fixing the temporary cable through an anchorage device, and circularly constructing and penetrating the cable until the end; 5, hoistingarch ribs; 6, mounting a wind brace; 7, performing pressure injection on arch rib concrete; 8, performing suspender prestressed cable construction; 9, mounting a tie beam and a middle cross beam; 10,installing prefabricated bridge decks, bridge deck pavement and anti-collision guardrails; and 11, adjusting the cable force of the finished bridge suspender. By the adoption of the construction method, the construction period is shortened, and the labor intensity of workers is reduced; and the navigation requirement is guaranteed during construction, the balance of stress changes in arch structure construction is effectively guaranteed, the safety of bridge construction and later operation is guaranteed, the ecological environment is protected, and wide application and popularization value and reference significance are achieved.