Five winners will win the chance to travel to one of the following sites: Stora Enso; UPM Kymmene; Mondi Uncoated Fine Papers; grupo Portucel Soporcel; Sappi.
The trips will be over two or three days and will include local hospitality.
Two Sides spokesman Martyn Eustace said: "The prize is a fantastic opportunity to spend time in some of Europe's forests, seeing how trees are harvested and then replanted, and then follow the pulping process through to final paper production.
"Seeing paper being made and realising how trees are a natural and renewable resource is always a trip that people remember. There are those that believe that our forests are diminishing, but in Europe – where more than 90% of our paper comes from – forests have grown by 30% since 1950."
The competition can be entered on the Two Sides website.