Preheat the grill for medium heat (400°F | 200°C)).
Thread the shrimp onto 4 long skewers (you should have 7 to 8 shrimp per skewer).
In a small bowl, mix the melted butter and Old Bay seasoning.
Brush the seasoned butter over both sides of the shrimp.
Grill until the shrimp are pink and opaque throughout, flipping once, 2 to 3 minutes per side.
Serve warm with lemon wedges and cocktail sauce for dipping, if desired.
Video
Notes
Skewers--If you're using wooden skewers, soak them in water for 1 hour before threading and cooking the shrimp. Metal skewers do not need to be soaked.
Dietary--This recipe is suitable for gluten-free diets.