In saucepan, combine butter, garlic, pepper, salt, dill weed, and paprika.
Heat mixture over low heat until butter is melted and starts simmering. Remove from heat.
Brush a little of the butter mixture in the bottom of a shallow baking dish (line baking dish with foil, if desired) then place tilapia fillets on the buttered area.
Brush the top of each tilapia fillet with the seasoned butter mixture.
Bake at 350° for 15 to 20 minutes, until tilapia flakes easily with a fork.