A continuous concrete curb forming apparatus is formed by a vertical open end sleeve-like hopper having a channel-like member connected with its depending opening forming the shape of a conventional concrete curb as wet concrete poured in the hopper is released from the channel member. The hopper is connected with one end of a rectangular frame mounted on the forward end of a tractor. Hydraulically operated cylinders on the apparatus are connected with the tractor hydraulic system and a sensing means responsive to the position of a horizontal guide strand defining the position of the concrete curb to be extruded are connected with the hydraulic system through servo-mechanisms for guiding the tractor and maintaining the hopper and extruding channel in close spaced relation with the surface of a roadbed on which the concrete curb is to be extruded.