A complicated interactive constraint exists between low-carbon economy and environment & resources, which means a coupling relation theoretically. This paper, based on a case study on circleBohai economic zone, analyzes the coupling mechanism of the two systems, establishes a coupling index system, and applies hierarchy analysis, coupling degree and coupling coordination model, and BP network to explain the coupling coordination status trend of the two systems. The result indicates an improving coupling coordination degree of the two system in circle-Bohai economic zone, and a rising regional coordination effect.