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 on a first point (P6) and on a second point (P7). The method further comprises a step of orienting the glue (G6) applied on the first point (P6) towards the second point (P7) and along said advancing direction (A), and orienting the glue (G7) applied on the second point (P7) towards the first point (P6) and along a direction opposite relative to said advancing direction (A).