The present invention prevents peak noise caused by a resonance frequency, and reduces an overall noise of the system by binding core teeth of a stator of a BLDC motor with a vibration prevention member.To do this, the present invention provides a brushless DC motor for a washing machine including a stator including a frame, a core in the frame, and a plurality of core teeth each extended outward from the frame and having a coil wound thereon, a rotor mounted to surround the core teeth, and rotatable when power is provided to the stator, and a vibration prevention member connected between the core teeth to bind the core teeth to each other, for prevention of vibration of the core teeth.