Is bubble wrap recyclable? It sure is, and it's easy to do. First, if you have old bubble wrap, consider reusing it the next time you need to ship something fragile. But if the bubble wrap is past its prime, do this: Pop the bubbles first. Then take the flattened plastic to any recycling bin that accepts plastic shopping bags for recycling. It's the same type of plastic, so you can be sure it will be recycled.