Two of the most common over the counter NSAIDs are Ibuprofen (Advil, Brufen, or Motrin) and Naproxen (Aleve). Let’s take a look at the pros and cons of the two: Ibuprofen vs. Naproxen To begin, both ibuprofen and naproxen are NSAIDs, and they will both offer some relief to whatever is causing you pain.One difference is mainly within the speed in which they act. Ibuprofen is a fast acting drug, and will bring you relief much quicker than naproxen will.enerally, ibuprofen is something you would take to deal with a headache at work, before going out, or something for quick pain relief. However studies have shown ibuprofen can have adverse effects for people who have a history of heart and liver disease.