This article is about the cultural tradition. You may be looking for the comic story of the same name.
"He still looks hacked at being in your debt, but he's got to abide by the way of the Wookiee—which is that saving the life of a foe wipes out the original grounds for the feud. Whether that fiery-tempered furball appreciates it or not your two families will be at peace."
―Han Solo, to Chewbacca, on Hronk[src]

The way of the Wookiee was a set of customs and traditions that the Wookiee people adhered to. Among the things that the way of the Wookiee regulated was the blood feud between Wookiee clans and the methods of its resolution.