The invention provides a stair climbing electric vehicle; a front four-jaw wheel and a rear four-jaw wheel are arranged; a front left four-jaw wheel and a front right four-jaw wheel are coaxially fixed; a rear left four-jaw wheel and a rear right four-jaw wheel are coaxially fixed; a compartment is arranged at the upper end of a front wheel axle and the upper end of a rear wheel axle; an externalrotor motor for driving the rear four-jaw wheel is arranged at the lower end of the compartment; the front four-jaw wheel is synchronously linked with the rear four-jaw wheel through a synchronous chain; the front four-jaw wheel and the rear four-jaw wheel are correspondingly positioned on front and rear steps of stairs; the four four-jaw wheels are in engaged rolling with the stair steps in a synchronous state to stably climb a slope; the gravity of a human body during standing on a pedal plate is bore at the front end of the front step through a front wheel jaw tip and is bore at the middlepart of the rear step through a rear wheel jaw tip; the distance between the front wheel axle and the rear wheel axle is shorter; and therefore, the pedal is arranged in a stable position in front ofa position between the front wheel axle and the rear wheel axle; the rotation speed of the external rotor motor is regulated by using a right hand to rotate a speed regulating rotating handle so as tocontrol the stair climbing speed of the stair climbing electric vehicle; when the stair climbing electric vehicle moves on the ground, a handrail is pulled backwards, left and right towing wheels touch the ground, and therefore, the stair climbing electric vehicle is changed into a hand buggy to move conveniently.