Gather all ingredients. Preheat the grill to high heat and lightly oil the grate. Pour lemon juice into a small bowl; slowly whisk in olive oil. Whisk in salt, paprika, white pepper, and garlic powder until combined.

Split lobster tails lengthwise with a large knife, then brush the flesh with some marinade.

Place lobster tails flesh-side down on the preheated grill and cook, turning once and basting frequently with marinade, until opaque and firm to the touch, 10 to 12 minutes. Discard any remaining marinade. Yields two servings.