Cut potatoes into large wedges and place into a medium pot. Cover with water, add salt, and bring to a boil over medium heat. Cook for about 6-8 minutes, until potatoes are tender but not cooked through. Drain and transfer potatoes to a bowl.
Melt honey and butter together.
Brush potatoes with vegetable oil until lightly coated. Grill over medium high heat, basting with honey butter, until wedges are golden and crispy. Remove from heat and transfer to a bowl.