Add shrimp , stir until coated. Marinate in refrigerator for at least 3 hours, turning often.
Remove shrimp. Pour marinade into small saucepan. Bring to a boil. Boil for 5 minutes.
Thread 1 shrimp starting at head end, lengthwise onto each skewer.
Place on ungreased baking sheet. Broil on top rack for about 2 minutes per side, basting with marinade several times, until shrimp are pink.
Shrimp can also be grilled on an electric grill or gas barbecue. Preheat electric grill for 5 minutes or barbecue to medium. Cook shrimp on greased grill for about 2 minutes per side, brushing several times with boiled marinade, until pink. Do not overcook.