Yes, wood glue does work on treated lumber. You will need to be careful about the type of glue that you use, though. Opt for wood glue that is designed to work in damp conditions, like Yellow glue and Polyurethane. There are a few types of glue out there suitable for treated lumber, and we recommend that you only use these so that the bond stays intact. When selecting the glue for your treated lumber, consider the conditions that your lumber is in. you will need to select a glue that is suitable for these conditions. For example, if the treated lumber is outside, then opt for a waterproof glue that can survive any wet and blustery conditions. The glues that we have mentioned are wood glues that are suitable for treated lumber. Most wood glues will state in their product descriptions or their packaging if they are suitable for treated lumber or not. If it does not specify, then it's best to avoid that glue or speak to the manufacturer for more information. After all, you don’t want to use glue that isn’t going to last!