One of the best supplements for inflammation is Arnica tablets and creams. Take tablets as directed before physical activity and then use the cream after the activity.
The best supplement I take for inflammation is arnica montana - the homeopathic version which is small white pellets you take by mouth and let melt under your tongue.
For chronic inflammation, eat lots of fruits and vegetables, as well as Omega-3 fatty acids found in seafood. Ginger, Turmeric, and Glucosamine-Chondroitin are also good.