The invention relates to a post-tensioning unbonded co-tensioning prestressed concrete composite beam and design and construction methods thereof. The post-tensioning unbonded co-tensioning prestressed concrete composite beam is a novel prestressed composite beam for applying bonded and unbonded prestress to a precast beam and the composite beam in stages by adopting a pre-tensioning method and apost-tensioning method in order to meet the construction and use demands. Compared with a traditional prestressed composite beam, the post-tensioning unbonded prestressed technology is adopted in thepost-tensioning unbonded co-tensioning prestressed concrete composite beam, the characteristics of high prefabricated degree, convenient and fast construction and the like of a lower composite structure are upheld, the unique advantages are also possessed, thus the anti-crack and anti-bending properties of a member can be improved, the structure demands at different stages are met through batchedtensioning, the integrity and the anti-seismic property of the structure can be enhanced by cooperating with the design of fabricated integrated prestress joint connection, thus the post-tensioning unbonded co-tensioning prestressed concrete composite beam is especially suitable for structures which have the high-property requirements such as the large span and the heavy load and have the high requirements for deformation control, and bearing capacity, and the superiority of the fabricated structure can also be embodied while the design requirements are met.