The invention provides a construction method of a continuous beam bridge, wherein the construction method includes the following steps of A, mounting a prefabricating beam on a a temporary base hole by hole; B, arranging a temporary pier at the end part of the prefabricating beam, mounting a jack on the temporary pier and vertically leveling by a steel plate; C, evenly applying force to every jack, and rising the beam end roof to meet the calculation requirement; D, pouring the continuous joint concrete and reaching the design requirement intensity, tensioning a prestress steel beam at a hogging moment zone; E, removing the temporary base, and completing the system conversion; F, orderly removing every jack-spanned load, and making the main beam return to the position before jacking, wherein the final inner force state of the structure system reaches the primary bracket supporting and bridge forming state. The whole process is simple in operation and rapid in construction; besides, during the construction process, the system is clear in stress and structure is safe and reliable; the inner force state of the final bridge can be greatly improved.