Melee Power affects how hard you hit with your weapons (or feet, if you don't have any). It's also how hard you throw stuff, but not how hard you shoot your crossbow bolts because that wouldn't make sense. It is influenced by Burliness .

(Primary attribute: Burliness) (Skills that affect this: Berserker Rage)

Each point of melee power increases your overall damage with melee and thrown weapons. The bonus will appear in the far right corner of your melee attack chart on your character sheet, as shown in the picture below. The weapon does 2 crushing damage, and 3 bonus damage is added from this attribute.

Melee Example