The apparatus is a cemetery incense burner having a removable resin incense holder retained in a container for accommodating the incense holder. The top and bottom sections of the removable incense holder serve two separate functions. The top concave surface of the removable incense holder is used as a censer for burning incense when inserted into the container in a right side up position. The container has a protrusion in a bottom center thereof to support the removable incense holder and to allow it to rise above the surface of the ground while it is being used as a censer. The bottom surface of the removable incense holder forms a seal with the top of the container and has a built in handle for easy removal when placed upside down (censer side down) in the container for storage. In another embodiment, the container has a flat bottom so that the holder is flush with the surface of the ground and container even in the use position. The container also has vertical recesses in its inner periphery for receiving projections from the periphery of the bottom of the holder to center the holder in the use position and provide a place to grip the holder when in the use position, and to accommodate the projections for forming the seal at the top of the container when the holder is in the storage position.