A lubrication device lubricates traveling lubrication sites, such as on a belt (1), in particular, on a roller or chain belt (1). The lubrication device includes a lubricating apparatus (2) having a catch (C) that is capable of assuming a resting position and a catching position relative to the belt (1). In the catching position, a lubricating head (D) of the lubricating apparatus (2) is moved to a lubrication site by relative lateral motion between the belt (1) and the lubricating apparatus (2) in order to supply lubricant to the lubricating site. At the end of the run path, the lubricating head (D) as well as the catch (C) moves relative to the belt (1) to return back to the resting position. Also, before or simultaneously while the catch (C) is brought into engagement with the belt (1), the lubricating apparatus (2) can be extended in a longitudinal direction of the lubrication site motion at a boosting speed, which is greater than zero and less than the speed of the belt (1).