The invention relates to a device for weighting a cover (B) intended to cover forage added to silage in a silo. The weighting device (1) comprises a body (2) having a lower surface intended to rest on a portion of said cover (B). The body (2) is provided with means (3) for removably securing the weighting device (1) with at least one other identical weighting device (1) to be arranged in an adjacent position on said cover (B).