Methods to produce laminates including layers of constructs made from P4HB and copolymers thereof have been developed. These laminates may be used as medical implants, or further processed to make medical implants. The laminates are produced at a temperature equal to or greater than the softening points of the P4HB or copolymers thereof. The layers may include oriented forms of the constructs. Orientation can be preserved during lamination so that the laminate is also oriented, when the laminates are formed at temperatures less than the de-orientation temperatures of the layers. The laminate layers may include, for example, films, textiles, including woven, knitted, braided and non-woven textiles, foams, thermoforms, and fibers. The laminates preferably include one or more oriented P4HB films.