Depends. Celebrex, or celecoxib, las a lower risk of bleeding from the gut, but also is the only NSAID that does not block the effect of low dose Aspirin used to prevent heart disease or stroke. Meloxicam blocks aspirins effect, as do all other drugs like Naproxen (aleve), and Ibuprofen (motrin). Unfortunately, Celebrex remains on patent and is much more expensive. For most, Meloxicam is a good choice.