In a container closing method and apparatus, a cover member transferring device for transferring a cover member from a first location where a supply of cover members is provided to a second location where a product filled container body is to receive the transferred cover member for closing the same. A carrier is supported by a support frame and is movable relative thereto in a fixed path from adjacent the first location to adjacent the second location. A pick-up device is suitably carried by the carrier and is movable relative thereto, the carrier having means for extending the pick-up device therefrom adjacent the first location to pick up a cover member and thereafter return the pick-up device with a cover member thereon. The carrier is moved in the fixed path so that the pick-up device is moved adjacent the second location where the pick-up device is again extended adjacent the second location for depositing the cover member on a filled container body whereby the pick-up device can thereafter be retracted to be moved back to the first location for receiving another cover member in the same manner.