As a consequence of their shapes, curved concrete bridge girders have complex internal force distributions and it is recommended to verify the real structural performance of curved girders upon construction and to monitor their behavior in long-term. A structural health monitoring method for curved concrete girders, based on the use of various topologies of long-gauge deformation sensors combined with inclinometers and temperature sensors, is presented in this paper. The method is loosely model-driven - the characteristic cross-sections for monitoring are first selected based on a generalized structural analysis of the girder, and then each cross-section is equipped with a sensor topology or a combination of sensor topologies, that can characterize in the best manner the expected influences. The method is illustrated and its performance is evaluated through a practical example: a curved post-tensioned bridge box girder equipped with fiber-optic sensors. Important construction stages are registered, analyzed and presented.