A transverse-positioning hinge has a seat, at least one elastic ball, a shaft and a fastening washer. The elastic ball is mounted in the seat. The shaft is mounted through the seat and has at least one positioning detent selectively engaging the elastic ball. The fastening washer is attached to the end of the shaft. Adjusting the tightness for attaching the fastening washer changes the deformation of the elastic ball, and then the resilient force provided by the elastic ball is also adjusted. Therefore, the positioning force provided by the elastic ball is adjustable without changing the elastic ball.