An electronic device may be provided with printed circuits. Electrical components may be interconnected using signal paths formed from metal traces in the printed circuits. The printed circuits may include flexible printed circuits with bent configurations. The flexible printed circuits may be provided with integral bend retention structures. A bend retention structure may be formed from a polymer layer, a solder layer, a stiffener formed from metal or polymer that is attached to flexible printed circuit layers with adhesive, a conformal plastic coating that covers exposed metal traces at a bend, a metal stiffener with screw holes, a shape memory alloy, a portion of a flexible printed circuit dielectric substrate layer with a reduced elongation at yield value, or combinations of these structures. The bend retention structure maintains a bend in a bent flexible printed circuit.