Burkholderia cepacia ATCC 17759, isolated from forest soils in Trinidad, accumulates large amounts of polyhydroxyalkanoate copolymers when grown on xylose, mannose, arabinose, other carbohydrates, and organic acid cosubstrates. This 8.72-Mb draft genome sequence of B. cepacia ATCC 17759 will provide better insight into this organism's utility in lignocellulose bioconversion.