A deck construction including a plurality of supports for anchoring deck construction elements to a building site. The supports include a body (which may be an integrally molded concrete pier) having upper and lower portions. The upper portion includes at least one slot for seating a horizontally oriented construction member. The slot includes a center socket portion having four extended corners for seating the bottom end of a vertically oriented construction member. The slot and center socket are defined by connecting wall portions which may be integral to the body or may be of plastic or metal and suitable secured to the body. In some cases, two mutually perpendicular slots are provided.