Method for applying glue on tubular cores for the production of logs of paper material comprising the step of supplying in sequence more tubular cores (1) along a predetermined advancing direction (A) and the step of applying on each of said cores (1) a predetermined amount of glue, and the glue is applied on the tubular cores (1) from the above. While advancing along said direction (A) and without interrupting their run, the tubular cores (1) intercept for a predetermined time the glue (EG) released by a predetermined number of nozzles (114); and during said time interval the glue (EG) is both on the nozzles (114) and the tubular cores (1) given the absence of any element interposed between the nozzles and the tubular cores.