The invention discloses a girder-pier sequential construction method of a pier top segment of an auxiliary pier of a cable stayed bridge, and relates to the field of bridge construction. The girder-pier sequential construction method is characterized in that the construction of the pier body of the auxiliary pier is performed twice, and when the pier body of the auxiliary pier is constructed for the first time, a definite height is reserved at the pier top, so that a front fulcrum pull rope cradle can run through the reserved height, after the construction of a main girder of the pier top segment of the auxiliary pier is completed through a cast-in-situ bracket, the cast-in-situ bracket is dismantled, the cradle runs through the auxiliary pier, and during the construction of the part from the pier body of the auxiliary pier to the pier top for the second time, a pedestal is mounted. According to the girder-pier sequential construction method disclosed by the invention, the front segment main girder and the rear segment main girder of the auxiliary pier share one front fulcrum pull rope cradle for construction, human resources and machinery for the dismantlement and the secondary assembly of the front fulcrum pull rope cradle, or human resources and machinery for construction by a bracket construction method are avoided, operation procedures are simplified, the construction period is shortened, and the cost is reduced.