An elliptical exercise apparatus includes an upstanding support connected to a front end of a base support, a rail assembly provided on a rear end of the base support, a wheel assembly mounted on the front end of the base support, a swing rod connected pivotally to the upstanding support, a slide rod having a rear end slidable forwardly and rearwardly along the rail assembly and a front end connected pivotally to the wheel assembly, a pedal seat connected pivotally to the slide rod, a pedal member mounted slidably on the pedal seat, a first link rod having a front end connected pivotally to the swing rod and a rear end connected pivotally to the pedal seat, and a second link rod having a front end connected pivotally to the swing rod below the first link rod and a rear end fixed to the pedal member.