Remove the ribeye from the refrigerator 30 to 60 minutes before grilling
Pat the steak dry with paper towels
Season both sides generously with salt and black pepper
Preheat the grill to high heat
Clean and oil the grill grates
Place the ribeye on the hottest part of the grill
Grill for 3 to 5 minutes on the first side
Flip the steak once
Grill for 3 to 5 minutes on the second side
Move the steak to a cooler part of the grill if flare-ups occur
Check doneness with a meat thermometer
Remove at 125°F for rare
Remove at 130°F for medium-rare
Remove at 135°F for medium
Rest the steak for 5 to 10 minutes
Slice against the grain
Serve immediately