The present invention relates to a transparent elastic compression bandage film composite for the treatment of venous diseases and tissue lesions, comprising a transparent film layer of 5 - 50 microns thickness, a medical adhesive coated on at least a portion of one surface of the film layer, which is preferably hypoallergenic, a first release liner for longitudinal detachment covering the adhesive film surface and, optionally, a second release liner for longitudinal detachment to serve as a carrier, wherein the effects of elasticity and of strong adhesion add to a compression quality superior to textile European standard compression media, in the main affecting superficial varicosities and long-term wearing.