A flexible curb apparatus includes a quantity of flexible polymeric material which includes a length, a width, and a height. The length is substantially greater than the width and the height. Also, a method of dividing a first ground surface from a second ground surface is comprised of the step of placing a flexible curb between the first ground surface and the second ground surface. A curved boundary can be present between the first ground surface and the second ground surface. To fabricate the flexible curb, a molding apparatus is employed. Internal drainage tubes are contained within the quantity of flexible polymeric material, and fasteners are provided for securing the tube-containing flexible curb to a ground surface. A coupler member can be connected between two separate flexible rubber curbs, and coupler fasteners are provided for connecting the coupler member to the two separate flexible rubber curbs.