Pat the turkey breast dry with paper towels.
In a bowl, mix salt, black pepper, smoked paprika, garlic powder, onion powder, and brown sugar.
Rub the seasoning mixture evenly over the entire turkey breast.
Drizzle olive oil over the turkey to help the seasoning adhere.
Preheat the smoker to 225°F and add your chosen wood chips.
Place the turkey breast directly on the smoker grates, skin-side up.
Smoke for 2-3 hours, misting with water or apple juice every 45 minutes.
Check the internal temperature, ensuring it reaches 160°F before removing.
Tent the turkey loosely with foil and let it rest for 10-15 minutes to reach 165°F.
Slice against the grain and serve with your favorite sides.