The present invention is directed to a gripping device for more hygienic handling of a lid for a container. In general, the gripping device fits over the lid and releasably grips the outer surface of the lid. At least a portion of at least one interior circumference of the gripping device has a gripper for imparting suitable friction to releasably grip the lid. When the gripping device is placed over the lid, the gripper grips the lid and does not release the lid until after the lid is placed on the container. The gripping device facilitates sealing of the lid around the entire circumference of the container, thereby preventing accidental spills caused by unclosed or partially closed lids. By using the gripping device, the lid may be handled without the operator's hand touching any part of the lid itself.