Abstarct: One of the most important problems in quantum information that we faced, is information transfer secured perfectly. Therefore we introduce the protocol in which, like all Quantum Key Distribution protocols (QKD), the security relies on the laws of quantum physics and another thing is that no-information leakage from the legal parties labs. This scheme is named quantum key distribution protocol which is Device-Independent (DIQKD). The security proof is baxsed on the minimal assumption rather than quantum distribution schemes, it means that two parties would not only have no knowledge about the structure of their quantum devices but they would also distrust their measuring apparatuses or we don٫t assume that Alice and Bob٫s devices behave according to predetermined specifications, because the measuring devices may be modified by eavesdropper (Eve). If the security of this kind of Device- Independent protocols comparable to those of standard schemes is more secure, if it is baxsed on the observation of a Bell inequality violation. Unfortunately, DIQKD is highly impractical because it needs near unity detection efficiency, and generates an extremely low key rate at practical distances [10]. In contrast to the device independent QKD protocol, measurement device independent quantum distribution does not require detectors of near unity detection efficiency, and generates an extremely low key rate at practical distances. The aim of this protocol that we consider here, is distributing a secret key whose security relies on the laws of quantum physics, so in this scheme we make this assumption that bits of key sequence are mutually independent and have no interaction with each other, one could also defines space-like separated events and in consequence we use this, to generate the secret key rate.