The paper investigates the dynamic green dual channel supply chain with consistent pricing strategy where the manufacturer produces a single kind of green product and sells it to end consumers directly through online channel besides the traditional retail channel. We focus on the complex features of these supply chain systems and how the players adjust their pricing and greening strategies in dynamic settings. We first derive the player’s static optimal decisions of centralized and decentralized scenarios in a single period. Based on the static equilibrium decisions, we develop the dynamic centralized and decentralized model and explore the dynamic characteristics of those dynamic systems by numerical simulations. Numerical results suggest the optimal adjustment strategies of decision variables and players’ profit in the dynamic environment. We find that the dynamic centralized/decentralized systems would be into chaos when the intertemporal adjustment speed of decision variables is over a threshold. Especially, the intertemporal adjustment speed of greenness degree is more sensitive than wholesale price and sale price.