An auto-focusing camera includes a stator (20), a rotor (30) rotatably disposed in the stator, and a lens unit (40) received in the rotor. The stator includes a stator core (23) and coils (25) winding on the stator core. The rotor is a permanent magnet (32) securely mounted around the lens unit. The lens unit forms three ears (414) at a bottom thereof, and a wave-shaped surface (220) is formed on a top of an inner, bottom flange (22) of the stator. The ears abut the wave-shaped surface. The ears of the lens unit move along the wave-shaped surface during rotation of the rotor and the lens mount, and thus the lens unit moves telescopically along an axial direction thereof.