There are two ports, but one is often home to a mouse.
As perfect Amigas go, the closest I've had was the 3000T and it was a serious business machine without a joystick port!

Note MOUSE 1 and MOUSE 2 ports.
Of course, the ports worked the same as any other Amiga and MOUSE 2 was generally used for the joystick. Fun marketing decision, though, "Don't say joystick, this is a serious computer!"