Preheat gas or charcoal grill to medium heat. Place chicken wings onto grill, skin side up, and cook for about 10-15 minutes. Turn chicken wings and cook until internal temperature registers about 180º F, about another 10 minutes.
Remove from grill and cover with aluminum foil to rest for about 5 minutes.
Brush spicy peach bbq sauce onto chicken wings prior to serving. Serve additional sauce on the side for dipping.