A chair frame mechanism and a chair having the same are provided. The chair frame mechanism includes a movable component, a chair bracket, a leg component, a back component and a sequence component. The movable component is connected with the chair bracket. The leg component and the back component are pivotally connected with the chair bracket, respectively, and the back component is connected with the movable component. The sequence component is connected with the movable component and the chair bracket, respectively, and connected with the leg component and the back component by transmission, respectively. The sequence component is capable of controlling the chair bracket to move relative to the movable component along a preset trajectory, and orderly controlling the leg component and the back component to extend or fold relative to the chair bracket.