Set up the grill for two-zone cooking: one side hot (about 350°F) for searing, the other cooler for slower cooking.
Trim excess fat from chicken thighs and season them on both sides with the sweet rub.
Place chicken thighs skin side down over the hot part of the grill. Cook for 2-3 minutes on each side until charred.
Move chicken to the cooler side of the grill, skin side up, and close the lid. Cook until the internal temperature reaches 165°F, about 25-30 minutes.
Baste chicken with BBQ sauce on both sides and close the lid again, cooking for 5-10 more minutes until the internal temperature reaches 175°F.
Remove chicken from the grill and let it rest for 5 minutes before serving.
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Notes
Store leftovers in an airtight container in the fridge for 3-4 days. Reheat gently to maintain moisture.