The invention relates to the field of bridge engineering, in particular to a construction method for a continuous beam and arch combination bridge. The continuous beam and arch bridge comprises a continuous beam body and an arch rib, wherein the arch rib is fixedly arranged on the continuous beam body. The construction method for the continuous beam and arch combination bridge is characterized by at least comprising the following steps that the continuous beam body utilizes a hanging bucket cantilever to perform pouring and constructing, meanwhile, the arch rib utilizes an ectopic bridge site to perform assembling, and the arch rib can be longitudinally moved to the bridge site after construction of the continuous beam body is finished and arranged and fixed on the continuous beam body through an arch base. The construction method for the continuous beam and arch combination bridge has the advantages of effectively reducing a working period, improving working efficiency, reducing risks, reducing potential safety hazards of a lower passage at a spanning position to the maximum.