Beyond what gtrubetskoy mentions (those are the basics which one should always follow), fish oil[1] and tumeric[2] have powerful anti-inflammatory effects.

[1] http://umm.edu/health/medical/altmed/supplement/omega3-fatty... [2] http://umm.edu/health/medical/altmed/herb/turmeric

Be careful with turmeric if you are prone to hypoglycaemia - I am, and had to stop supplementing with 1g of turmeric, since it was reliably dropping my baseline blood glucose levels by 1mmol/l (might be a good thing if you are diabetic though!)

Simply (ok it's not so simple, actually) reducing intake of inflammatory food such sugar in any form, preservatives, coloring, glyphosate, animals treated with antibiotics, etc. would go a really long way.

I'd go even one step further: simply reducing intake of food period. Inflammation, short of a specific disease, is pretty rare in people who are not overweight.

Also consider vegetable oils.

Adequate sleep.

Source: https://www.ncbi.nlm.nih.gov/pubmed/21112025

There's a strong connection between weight gain and sleep apnea. Often its misunderstood as "Oh just go on a diet and your sleep apnea will go away!" That works in some cases but for many it doesn't. Turns out the SA caused the weight gain via unknown mechanisms. Perhaps inflammation, perhaps sugar/food cravings to make up for lost energy, fatigue, etc.