Stir honey, soy sauce, olive oil and vinegar together in a glass (or non-reactive) bowl. Place Alaska Black Cod fillets in the bowl, skin side up, so that marinade covers all of the fish flesh. Cover and refrigerate for 12 to 24 hours.
Heat oven to 450°F. Remove fillets from marinade and place on a nonstick (or spray-coated/foil-lined) baking sheet. Season with salt and pepper. Bake until fillets are golden to dark brown, about 7 to 9 minutes. You want to cook the fish, just until it is opaque throughout. Serve with a green veggie and/or rice.