The biochemical characteristics of lambda DNA chains in folded/unfolded states upon cleavage by the restriction enzyme ApaLI were investigated in the presence of spermine. These characteristics of DNA chains depending on their higher-order structure were studied at the single-molecule level using fluorescence microscopy. With a low concentration of spermine, lambda DNA takes a random coiled conformation and allows digestion by the enzyme, while under a high concentration of spermine, lambda DNA takes a compact folded structure and inhibits such attack. Together with comparative experiments on short oligomeric DNA, our results suggest that the transition in the higher-order structure causes on/off-type switching of sensitivity to the enzyme.