It is not illegal to sell a car without a jack and lug wrench. According to the National Highway Traffic Safety Administration, lug wrenches are not part of the required safety equipment for vehicles. However, it is important to note that some states may have specific laws regarding the equipment that must be included with a car when it is sold. It is always best to check with your local laws to make sure that you are in compliance when selling a vehicle.
Also, while it may not be illegal, it is generally not recommended to sell a car without a jack and lug wrench, as these are essential tools for changing flat tires. Providing these basic maintenance tools could help ensure the safety of the buyer and help them avoid inconvenience in case of a flat tire.