A connector engaging structure includes an electrical connection box including a first connector provided with a connecting terminal, a second connector to be engaged with the first connecter, and provided with a mating terminal to be connected to the connecting terminal, an outer housing which houses a whole of the second connector, and is secured to the electrical connection box, and a rotatable lever which couples the second connector with the outer housing, and relatively moves the second connector to/from the first connector to connect/disconnect the connecting terminal to/from the mating terminal.