A method and apparatus that uses tha dynamics of chaotic system for the remote generation of a digital key, for use in any encryption algorithm. After initialization, the dynamics of a chaotic system are allowed to generate the 0 and 1 bits of a key bistream. An initialization bistream is transmitted, using conventional transmission technologies, to an identical chaotic system. This chaotic system is driven into synchrony and allow to generate a key bitsream, which is identical to the other bitstream because the chaotic systems have been sychronized.