A continuous forming apparatus for molding foam material into foam products that includes a first endless belt and a second endless belt that cooperates with the first endless belt to mold the foam material. The continuous forming apparatus may also include a first plurality of cleats and a second plurality of cleats opposed to the first plurality of cleats that support the first endless belt and the second endless belt respectively. The first plurality of cleats may include a three-dimensional abutment surface that provides transverse and lateral support to the first endless belt. Additionally, the continuous forming apparatus may include a first frame disposed to support the first plurality of cleats, a second frame disposed to support the second plurality of cleats, and a drive mechanism for imparting motion to the first endless belt, the second endless belt, the first plurality of cleats, and the second plurality of cleats.