Combine all ingredients, excluding fish, in a jar; cover and shake well. Place salmon steaks in a glass dish; spoon about 1 tablespoon of marinade over each steak. Refrigerate 10 to 30 minutes.

To cook, remove salmon from marinade, discard marinade from dish. Place salmon on a lightly greased grilling pan. Brush fish with some of the remaining marinade. Grill 10 minutes per inch thickness of fish, turning once and basting. Serve with steamed Asian greens or a green Salad.